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Finding the Third Proportional to 261,902 and 565,573

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Solution

The third proportional to 261,902 and 565,573 is: 1,221,345.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,902 : 565,573 = 565,573 : x
  2. Step 2: Convert to fraction form
    261,902/565,573 = 565,573/x
  3. Step 3: Cross multiply
    261,902x = 565,573 × 565,573
  4. Step 4: Simplify right side
    261,902x = 319,872,818,329
  5. Step 5: Solve for x
    x = 319,872,818,329/261,902
  6. Step 6: Final answer
    x = 1,221,345.46

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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.