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Finding the Third Proportional to 508,466,838.38 and 719,678,003.63

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Solution

The third proportional to 508,466,838.38 and 719,678,003.63 is: 1,018,623,811.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,466,838.38 : 719,678,003.63 = 719,678,003.63 : x
  2. Step 2: Convert to fraction form
    508,466,838.38/719,678,003.63 = 719,678,003.63/x
  3. Step 3: Cross multiply
    508,466,838.38x = 719,678,003.63 × 719,678,003.63
  4. Step 4: Simplify right side
    508,466,838.38x = 517,936,428,901,665,536
  5. Step 5: Solve for x
    x = 517,936,428,901,665,536/508,466,838.38
  6. Step 6: Final answer
    x = 1,018,623,811.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.