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Finding the Third Proportional to 466,971 and 700,462.50

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Solution

The third proportional to 466,971 and 700,462.50 is: 1,050,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,971 : 700,462.50 = 700,462.50 : x
  2. Step 2: Convert to fraction form
    466,971/700,462.50 = 700,462.50/x
  3. Step 3: Cross multiply
    466,971x = 700,462.50 × 700,462.50
  4. Step 4: Simplify right side
    466,971x = 490,647,713,906.25
  5. Step 5: Solve for x
    x = 490,647,713,906.25/466,971
  6. Step 6: Final answer
    x = 1,050,702.75

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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.