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Finding the Third Proportional to 354,901.50 and 564,367.50

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Solution

The third proportional to 354,901.50 and 564,367.50 is: 897,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.50 : 564,367.50 = 564,367.50 : x
  2. Step 2: Convert to fraction form
    354,901.50/564,367.50 = 564,367.50/x
  3. Step 3: Cross multiply
    354,901.50x = 564,367.50 × 564,367.50
  4. Step 4: Simplify right side
    354,901.50x = 318,510,675,056.25
  5. Step 5: Solve for x
    x = 318,510,675,056.25/354,901.50
  6. Step 6: Final answer
    x = 897,462.18

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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.