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Finding the Third Proportional to 685,764 and 1,086,772.50

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Solution

The third proportional to 685,764 and 1,086,772.50 is: 1,722,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,764 : 1,086,772.50 = 1,086,772.50 : x
  2. Step 2: Convert to fraction form
    685,764/1,086,772.50 = 1,086,772.50/x
  3. Step 3: Cross multiply
    685,764x = 1,086,772.50 × 1,086,772.50
  4. Step 4: Simplify right side
    685,764x = 1,181,074,466,756.25
  5. Step 5: Solve for x
    x = 1,181,074,466,756.25/685,764
  6. Step 6: Final answer
    x = 1,722,275.40

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Why These Related Problems?

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