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Finding the Third Proportional to 402,328 and 596,548

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Solution

The third proportional to 402,328 and 596,548 is: 884,525.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,328 : 596,548 = 596,548 : x
  2. Step 2: Convert to fraction form
    402,328/596,548 = 596,548/x
  3. Step 3: Cross multiply
    402,328x = 596,548 × 596,548
  4. Step 4: Simplify right side
    402,328x = 355,869,516,304
  5. Step 5: Solve for x
    x = 355,869,516,304/402,328
  6. Step 6: Final answer
    x = 884,525.85

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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.