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Finding the Third Proportional to 508,598 and 744,646

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Solution

The third proportional to 508,598 and 744,646 is: 1,090,247.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,598 : 744,646 = 744,646 : x
  2. Step 2: Convert to fraction form
    508,598/744,646 = 744,646/x
  3. Step 3: Cross multiply
    508,598x = 744,646 × 744,646
  4. Step 4: Simplify right side
    508,598x = 554,497,665,316
  5. Step 5: Solve for x
    x = 554,497,665,316/508,598
  6. Step 6: Final answer
    x = 1,090,247.44

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.