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Finding the Third Proportional to 402,292 and 596,475

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Solution

The third proportional to 402,292 and 596,475 is: 884,388.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,292 : 596,475 = 596,475 : x
  2. Step 2: Convert to fraction form
    402,292/596,475 = 596,475/x
  3. Step 3: Cross multiply
    402,292x = 596,475 × 596,475
  4. Step 4: Simplify right side
    402,292x = 355,782,425,625
  5. Step 5: Solve for x
    x = 355,782,425,625/402,292
  6. Step 6: Final answer
    x = 884,388.52

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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.