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Finding the Third Proportional to 425,692 and 909,217.50

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Solution

The third proportional to 425,692 and 909,217.50 is: 1,941,959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,692 : 909,217.50 = 909,217.50 : x
  2. Step 2: Convert to fraction form
    425,692/909,217.50 = 909,217.50/x
  3. Step 3: Cross multiply
    425,692x = 909,217.50 × 909,217.50
  4. Step 4: Simplify right side
    425,692x = 826,676,462,306.25
  5. Step 5: Solve for x
    x = 826,676,462,306.25/425,692
  6. Step 6: Final answer
    x = 1,941,959.12

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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.