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Finding the Third Proportional to 402,279 and 596,455

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Solution

The third proportional to 402,279 and 596,455 is: 884,357.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,279 : 596,455 = 596,455 : x
  2. Step 2: Convert to fraction form
    402,279/596,455 = 596,455/x
  3. Step 3: Cross multiply
    402,279x = 596,455 × 596,455
  4. Step 4: Simplify right side
    402,279x = 355,758,567,025
  5. Step 5: Solve for x
    x = 355,758,567,025/402,279
  6. Step 6: Final answer
    x = 884,357.79

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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.