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Finding the Third Proportional to 402,285 and 596,469

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Solution

The third proportional to 402,285 and 596,469 is: 884,386.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,285 : 596,469 = 596,469 : x
  2. Step 2: Convert to fraction form
    402,285/596,469 = 596,469/x
  3. Step 3: Cross multiply
    402,285x = 596,469 × 596,469
  4. Step 4: Simplify right side
    402,285x = 355,775,267,961
  5. Step 5: Solve for x
    x = 355,775,267,961/402,285
  6. Step 6: Final answer
    x = 884,386.11

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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.