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Finding the Third Proportional to 402,251 and 596,418

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Solution

The third proportional to 402,251 and 596,418 is: 884,309.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,251 : 596,418 = 596,418 : x
  2. Step 2: Convert to fraction form
    402,251/596,418 = 596,418/x
  3. Step 3: Cross multiply
    402,251x = 596,418 × 596,418
  4. Step 4: Simplify right side
    402,251x = 355,714,430,724
  5. Step 5: Solve for x
    x = 355,714,430,724/402,251
  6. Step 6: Final answer
    x = 884,309.62

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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.