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Finding the Third Proportional to 708,181 and 1,083,817.50

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Solution

The third proportional to 708,181 and 1,083,817.50 is: 1,658,700.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,181 : 1,083,817.50 = 1,083,817.50 : x
  2. Step 2: Convert to fraction form
    708,181/1,083,817.50 = 1,083,817.50/x
  3. Step 3: Cross multiply
    708,181x = 1,083,817.50 × 1,083,817.50
  4. Step 4: Simplify right side
    708,181x = 1,174,660,373,306.25
  5. Step 5: Solve for x
    x = 1,174,660,373,306.25/708,181
  6. Step 6: Final answer
    x = 1,658,700.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.