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Finding the Third Proportional to 462,346.50 and 725,466

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Solution

The third proportional to 462,346.50 and 725,466 is: 1,138,325.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,346.50 : 725,466 = 725,466 : x
  2. Step 2: Convert to fraction form
    462,346.50/725,466 = 725,466/x
  3. Step 3: Cross multiply
    462,346.50x = 725,466 × 725,466
  4. Step 4: Simplify right side
    462,346.50x = 526,300,917,156
  5. Step 5: Solve for x
    x = 526,300,917,156/462,346.50
  6. Step 6: Final answer
    x = 1,138,325.73

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.