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Finding the Third Proportional to 466,267.50 and 701,132.06

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Solution

The third proportional to 466,267.50 and 701,132.06 is: 1,054,300.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,267.50 : 701,132.06 = 701,132.06 : x
  2. Step 2: Convert to fraction form
    466,267.50/701,132.06 = 701,132.06/x
  3. Step 3: Cross multiply
    466,267.50x = 701,132.06 × 701,132.06
  4. Step 4: Simplify right side
    466,267.50x = 491,586,169,065.50
  5. Step 5: Solve for x
    x = 491,586,169,065.50/466,267.50
  6. Step 6: Final answer
    x = 1,054,300.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.