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Finding the Third Proportional to 425,988.50 and 911,829

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Solution

The third proportional to 425,988.50 and 911,829 is: 1,951,771.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,988.50 : 911,829 = 911,829 : x
  2. Step 2: Convert to fraction form
    425,988.50/911,829 = 911,829/x
  3. Step 3: Cross multiply
    425,988.50x = 911,829 × 911,829
  4. Step 4: Simplify right side
    425,988.50x = 831,432,125,241
  5. Step 5: Solve for x
    x = 831,432,125,241/425,988.50
  6. Step 6: Final answer
    x = 1,951,771.29

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.