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Finding the Third Proportional to 261,369 and 566,613

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Solution

The third proportional to 261,369 and 566,613 is: 1,228,341.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,369 : 566,613 = 566,613 : x
  2. Step 2: Convert to fraction form
    261,369/566,613 = 566,613/x
  3. Step 3: Cross multiply
    261,369x = 566,613 × 566,613
  4. Step 4: Simplify right side
    261,369x = 321,050,291,769
  5. Step 5: Solve for x
    x = 321,050,291,769/261,369
  6. Step 6: Final answer
    x = 1,228,341.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.