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Finding the Third Proportional to 261,032 and 563,536

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Solution

The third proportional to 261,032 and 563,536 is: 1,216,604.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,032 : 563,536 = 563,536 : x
  2. Step 2: Convert to fraction form
    261,032/563,536 = 563,536/x
  3. Step 3: Cross multiply
    261,032x = 563,536 × 563,536
  4. Step 4: Simplify right side
    261,032x = 317,572,823,296
  5. Step 5: Solve for x
    x = 317,572,823,296/261,032
  6. Step 6: Final answer
    x = 1,216,604.95

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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.