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Finding the Third Proportional to 779,295.75 and 1,165,816.13

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Solution

The third proportional to 779,295.75 and 1,165,816.13 is: 1,744,045.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,295.75 : 1,165,816.13 = 1,165,816.13 : x
  2. Step 2: Convert to fraction form
    779,295.75/1,165,816.13 = 1,165,816.13/x
  3. Step 3: Cross multiply
    779,295.75x = 1,165,816.13 × 1,165,816.13
  4. Step 4: Simplify right side
    779,295.75x = 1,359,127,237,310.02
  5. Step 5: Solve for x
    x = 1,359,127,237,310.02/779,295.75
  6. Step 6: Final answer
    x = 1,744,045.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.