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Finding the Third Proportional to 354,887 and 536,565.50

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Solution

The third proportional to 354,887 and 536,565.50 is: 811,251.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,887 : 536,565.50 = 536,565.50 : x
  2. Step 2: Convert to fraction form
    354,887/536,565.50 = 536,565.50/x
  3. Step 3: Cross multiply
    354,887x = 536,565.50 × 536,565.50
  4. Step 4: Simplify right side
    354,887x = 287,902,535,790.25
  5. Step 5: Solve for x
    x = 287,902,535,790.25/354,887
  6. Step 6: Final answer
    x = 811,251.29

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.