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Finding the Third Proportional to 564,359 and 1,205,257

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Solution

The third proportional to 564,359 and 1,205,257 is: 2,573,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,359 : 1,205,257 = 1,205,257 : x
  2. Step 2: Convert to fraction form
    564,359/1,205,257 = 1,205,257/x
  3. Step 3: Cross multiply
    564,359x = 1,205,257 × 1,205,257
  4. Step 4: Simplify right side
    564,359x = 1,452,644,436,049
  5. Step 5: Solve for x
    x = 1,452,644,436,049/564,359
  6. Step 6: Final answer
    x = 2,573,972.30

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.