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Finding the Third Proportional to 257,610 and 564,428

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Solution

The third proportional to 257,610 and 564,428 is: 1,236,671.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,610 : 564,428 = 564,428 : x
  2. Step 2: Convert to fraction form
    257,610/564,428 = 564,428/x
  3. Step 3: Cross multiply
    257,610x = 564,428 × 564,428
  4. Step 4: Simplify right side
    257,610x = 318,578,967,184
  5. Step 5: Solve for x
    x = 318,578,967,184/257,610
  6. Step 6: Final answer
    x = 1,236,671.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.