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Finding the Third Proportional to 253,776 and 564,292

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Solution

The third proportional to 253,776 and 564,292 is: 1,254,750.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,776 : 564,292 = 564,292 : x
  2. Step 2: Convert to fraction form
    253,776/564,292 = 564,292/x
  3. Step 3: Cross multiply
    253,776x = 564,292 × 564,292
  4. Step 4: Simplify right side
    253,776x = 318,425,461,264
  5. Step 5: Solve for x
    x = 318,425,461,264/253,776
  6. Step 6: Final answer
    x = 1,254,750.10

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.