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Finding the Third Proportional to 708,612.75 and 1,062,922.50

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Solution

The third proportional to 708,612.75 and 1,062,922.50 is: 1,594,388.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,612.75 : 1,062,922.50 = 1,062,922.50 : x
  2. Step 2: Convert to fraction form
    708,612.75/1,062,922.50 = 1,062,922.50/x
  3. Step 3: Cross multiply
    708,612.75x = 1,062,922.50 × 1,062,922.50
  4. Step 4: Simplify right side
    708,612.75x = 1,129,804,241,006.25
  5. Step 5: Solve for x
    x = 1,129,804,241,006.25/708,612.75
  6. Step 6: Final answer
    x = 1,594,388.81

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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.