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Finding the Third Proportional to 402,251.75 and 596,420.13

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Solution

The third proportional to 402,251.75 and 596,420.13 is: 884,314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,251.75 : 596,420.13 = 596,420.13 : x
  2. Step 2: Convert to fraction form
    402,251.75/596,420.13 = 596,420.13/x
  3. Step 3: Cross multiply
    402,251.75x = 596,420.13 × 596,420.13
  4. Step 4: Simplify right side
    402,251.75x = 355,716,965,505.02
  5. Step 5: Solve for x
    x = 355,716,965,505.02/402,251.75
  6. Step 6: Final answer
    x = 884,314.28

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.