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Finding the Third Proportional to 261,040 and 563,552

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Solution

The third proportional to 261,040 and 563,552 is: 1,216,636.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,040 : 563,552 = 563,552 : x
  2. Step 2: Convert to fraction form
    261,040/563,552 = 563,552/x
  3. Step 3: Cross multiply
    261,040x = 563,552 × 563,552
  4. Step 4: Simplify right side
    261,040x = 317,590,856,704
  5. Step 5: Solve for x
    x = 317,590,856,704/261,040
  6. Step 6: Final answer
    x = 1,216,636.75

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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.