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Finding the Third Proportional to 732,795 and 1,165,684.50

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Solution

The third proportional to 732,795 and 1,165,684.50 is: 1,854,298.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    732,795 : 1,165,684.50 = 1,165,684.50 : x
  2. Step 2: Convert to fraction form
    732,795/1,165,684.50 = 1,165,684.50/x
  3. Step 3: Cross multiply
    732,795x = 1,165,684.50 × 1,165,684.50
  4. Step 4: Simplify right side
    732,795x = 1,358,820,353,540.25
  5. Step 5: Solve for x
    x = 1,358,820,353,540.25/732,795
  6. Step 6: Final answer
    x = 1,854,298.07

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.