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Finding the Third Proportional to 610,084.50 and 927,565.50

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Solution

The third proportional to 610,084.50 and 927,565.50 is: 1,410,259.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,084.50 : 927,565.50 = 927,565.50 : x
  2. Step 2: Convert to fraction form
    610,084.50/927,565.50 = 927,565.50/x
  3. Step 3: Cross multiply
    610,084.50x = 927,565.50 × 927,565.50
  4. Step 4: Simplify right side
    610,084.50x = 860,377,756,790.25
  5. Step 5: Solve for x
    x = 860,377,756,790.25/610,084.50
  6. Step 6: Final answer
    x = 1,410,259.98

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.