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Finding the Third Proportional to 354,853.50 and 564,924

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Solution

The third proportional to 354,853.50 and 564,924 is: 899,354.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,853.50 : 564,924 = 564,924 : x
  2. Step 2: Convert to fraction form
    354,853.50/564,924 = 564,924/x
  3. Step 3: Cross multiply
    354,853.50x = 564,924 × 564,924
  4. Step 4: Simplify right side
    354,853.50x = 319,139,125,776
  5. Step 5: Solve for x
    x = 319,139,125,776/354,853.50
  6. Step 6: Final answer
    x = 899,354.59

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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.