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Finding the Third Proportional to 732,415.50 and 1,119,729

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Solution

The third proportional to 732,415.50 and 1,119,729 is: 1,711,860.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,415.50 : 1,119,729 = 1,119,729 : x
  2. Step 2: Convert to fraction form
    732,415.50/1,119,729 = 1,119,729/x
  3. Step 3: Cross multiply
    732,415.50x = 1,119,729 × 1,119,729
  4. Step 4: Simplify right side
    732,415.50x = 1,253,793,033,441
  5. Step 5: Solve for x
    x = 1,253,793,033,441/732,415.50
  6. Step 6: Final answer
    x = 1,711,860.32

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.