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Finding the Third Proportional to 354,774 and 564,788

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Solution

The third proportional to 354,774 and 564,788 is: 899,123.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,774 : 564,788 = 564,788 : x
  2. Step 2: Convert to fraction form
    354,774/564,788 = 564,788/x
  3. Step 3: Cross multiply
    354,774x = 564,788 × 564,788
  4. Step 4: Simplify right side
    354,774x = 318,985,484,944
  5. Step 5: Solve for x
    x = 318,985,484,944/354,774
  6. Step 6: Final answer
    x = 899,123.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.