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Finding the Third Proportional to 465,486 and 664,420.50

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Solution

The third proportional to 465,486 and 664,420.50 is: 948,373.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,486 : 664,420.50 = 664,420.50 : x
  2. Step 2: Convert to fraction form
    465,486/664,420.50 = 664,420.50/x
  3. Step 3: Cross multiply
    465,486x = 664,420.50 × 664,420.50
  4. Step 4: Simplify right side
    465,486x = 441,454,600,820.25
  5. Step 5: Solve for x
    x = 441,454,600,820.25/465,486
  6. Step 6: Final answer
    x = 948,373.53

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.