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Finding the Third Proportional to 261,840 and 563,772

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Solution

The third proportional to 261,840 and 563,772 is: 1,213,866.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,840 : 563,772 = 563,772 : x
  2. Step 2: Convert to fraction form
    261,840/563,772 = 563,772/x
  3. Step 3: Cross multiply
    261,840x = 563,772 × 563,772
  4. Step 4: Simplify right side
    261,840x = 317,838,867,984
  5. Step 5: Solve for x
    x = 317,838,867,984/261,840
  6. Step 6: Final answer
    x = 1,213,866.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.