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Finding the Third Proportional to 779,562.75 and 1,166,164.50

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Solution

The third proportional to 779,562.75 and 1,166,164.50 is: 1,744,490.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,562.75 : 1,166,164.50 = 1,166,164.50 : x
  2. Step 2: Convert to fraction form
    779,562.75/1,166,164.50 = 1,166,164.50/x
  3. Step 3: Cross multiply
    779,562.75x = 1,166,164.50 × 1,166,164.50
  4. Step 4: Simplify right side
    779,562.75x = 1,359,939,641,060.25
  5. Step 5: Solve for x
    x = 1,359,939,641,060.25/779,562.75
  6. Step 6: Final answer
    x = 1,744,490.28

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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.