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Finding the Third Proportional to 261,711 and 565,202.81

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Solution

The third proportional to 261,711 and 565,202.81 is: 1,220,637.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,711 : 565,202.81 = 565,202.81 : x
  2. Step 2: Convert to fraction form
    261,711/565,202.81 = 565,202.81/x
  3. Step 3: Cross multiply
    261,711x = 565,202.81 × 565,202.81
  4. Step 4: Simplify right side
    261,711x = 319,454,219,257.91
  5. Step 5: Solve for x
    x = 319,454,219,257.91/261,711
  6. Step 6: Final answer
    x = 1,220,637.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.