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Finding the Third Proportional to 261,711 and 383,545.13

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Solution

The third proportional to 261,711 and 383,545.13 is: 562,096.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,711 : 383,545.13 = 383,545.13 : x
  2. Step 2: Convert to fraction form
    261,711/383,545.13 = 383,545.13/x
  3. Step 3: Cross multiply
    261,711x = 383,545.13 × 383,545.13
  4. Step 4: Simplify right side
    261,711x = 147,106,862,911.27
  5. Step 5: Solve for x
    x = 147,106,862,911.27/261,711
  6. Step 6: Final answer
    x = 562,096.60

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.