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Finding the Third Proportional to 296,553.38 and 459,577.13

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Solution

The third proportional to 296,553.38 and 459,577.13 is: 712,219.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,553.38 : 459,577.13 = 459,577.13 : x
  2. Step 2: Convert to fraction form
    296,553.38/459,577.13 = 459,577.13/x
  3. Step 3: Cross multiply
    296,553.38x = 459,577.13 × 459,577.13
  4. Step 4: Simplify right side
    296,553.38x = 211,211,133,823.27
  5. Step 5: Solve for x
    x = 211,211,133,823.27/296,553.38
  6. Step 6: Final answer
    x = 712,219.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.