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Finding the Third Proportional to 261,911 and 565,557

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Solution

The third proportional to 261,911 and 565,557 is: 1,221,234.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,911 : 565,557 = 565,557 : x
  2. Step 2: Convert to fraction form
    261,911/565,557 = 565,557/x
  3. Step 3: Cross multiply
    261,911x = 565,557 × 565,557
  4. Step 4: Simplify right side
    261,911x = 319,854,720,249
  5. Step 5: Solve for x
    x = 319,854,720,249/261,911
  6. Step 6: Final answer
    x = 1,221,234.39

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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.