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Finding the Third Proportional to 696,098.50 and 1,107,638.50

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Solution

The third proportional to 696,098.50 and 1,107,638.50 is: 1,762,484.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,098.50 : 1,107,638.50 = 1,107,638.50 : x
  2. Step 2: Convert to fraction form
    696,098.50/1,107,638.50 = 1,107,638.50/x
  3. Step 3: Cross multiply
    696,098.50x = 1,107,638.50 × 1,107,638.50
  4. Step 4: Simplify right side
    696,098.50x = 1,226,863,046,682.25
  5. Step 5: Solve for x
    x = 1,226,863,046,682.25/696,098.50
  6. Step 6: Final answer
    x = 1,762,484.83

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.