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Finding the Third Proportional to 641,098.75 and 1,015,164.50

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Solution

The third proportional to 641,098.75 and 1,015,164.50 is: 1,607,488.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,098.75 : 1,015,164.50 = 1,015,164.50 : x
  2. Step 2: Convert to fraction form
    641,098.75/1,015,164.50 = 1,015,164.50/x
  3. Step 3: Cross multiply
    641,098.75x = 1,015,164.50 × 1,015,164.50
  4. Step 4: Simplify right side
    641,098.75x = 1,030,558,962,060.25
  5. Step 5: Solve for x
    x = 1,030,558,962,060.25/641,098.75
  6. Step 6: Final answer
    x = 1,607,488.65

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.