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Finding the Third Proportional to 261,346.50 and 566,569.69

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Solution

The third proportional to 261,346.50 and 566,569.69 is: 1,228,259.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,346.50 : 566,569.69 = 566,569.69 : x
  2. Step 2: Convert to fraction form
    261,346.50/566,569.69 = 566,569.69/x
  3. Step 3: Cross multiply
    261,346.50x = 566,569.69 × 566,569.69
  4. Step 4: Simplify right side
    261,346.50x = 321,001,210,793.85
  5. Step 5: Solve for x
    x = 321,001,210,793.85/261,346.50
  6. Step 6: Final answer
    x = 1,228,259.08

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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.