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Finding the Third Proportional to 456,193.50 and 666,956.25

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Solution

The third proportional to 456,193.50 and 666,956.25 is: 975,092.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,193.50 : 666,956.25 = 666,956.25 : x
  2. Step 2: Convert to fraction form
    456,193.50/666,956.25 = 666,956.25/x
  3. Step 3: Cross multiply
    456,193.50x = 666,956.25 × 666,956.25
  4. Step 4: Simplify right side
    456,193.50x = 444,830,639,414.06
  5. Step 5: Solve for x
    x = 444,830,639,414.06/456,193.50
  6. Step 6: Final answer
    x = 975,092.02

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.