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Finding the Third Proportional to 466,971.75 and 700,459.31

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Solution

The third proportional to 466,971.75 and 700,459.31 is: 1,050,691.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,971.75 : 700,459.31 = 700,459.31 : x
  2. Step 2: Convert to fraction form
    466,971.75/700,459.31 = 700,459.31/x
  3. Step 3: Cross multiply
    466,971.75x = 700,459.31 × 700,459.31
  4. Step 4: Simplify right side
    466,971.75x = 490,643,248,467.97
  5. Step 5: Solve for x
    x = 490,643,248,467.97/466,971.75
  6. Step 6: Final answer
    x = 1,050,691.50

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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.