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Finding the Third Proportional to 462,600 and 725,848.50

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Solution

The third proportional to 462,600 and 725,848.50 is: 1,138,901.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,600 : 725,848.50 = 725,848.50 : x
  2. Step 2: Convert to fraction form
    462,600/725,848.50 = 725,848.50/x
  3. Step 3: Cross multiply
    462,600x = 725,848.50 × 725,848.50
  4. Step 4: Simplify right side
    462,600x = 526,856,044,952.25
  5. Step 5: Solve for x
    x = 526,856,044,952.25/462,600
  6. Step 6: Final answer
    x = 1,138,901.96

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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.