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Finding the Third Proportional to 350,934 and 524,061

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Solution

The third proportional to 350,934 and 524,061 is: 782,597.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,934 : 524,061 = 524,061 : x
  2. Step 2: Convert to fraction form
    350,934/524,061 = 524,061/x
  3. Step 3: Cross multiply
    350,934x = 524,061 × 524,061
  4. Step 4: Simplify right side
    350,934x = 274,639,931,721
  5. Step 5: Solve for x
    x = 274,639,931,721/350,934
  6. Step 6: Final answer
    x = 782,597.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.