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Finding the Third Proportional to 749,371.50 and 1,142,829

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Solution

The third proportional to 749,371.50 and 1,142,829 is: 1,742,871.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    749,371.50 : 1,142,829 = 1,142,829 : x
  2. Step 2: Convert to fraction form
    749,371.50/1,142,829 = 1,142,829/x
  3. Step 3: Cross multiply
    749,371.50x = 1,142,829 × 1,142,829
  4. Step 4: Simplify right side
    749,371.50x = 1,306,058,123,241
  5. Step 5: Solve for x
    x = 1,306,058,123,241/749,371.50
  6. Step 6: Final answer
    x = 1,742,871.36

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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.