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Finding the Third Proportional to 217,776 and 461,995.50

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Solution

The third proportional to 217,776 and 461,995.50 is: 980,088.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,776 : 461,995.50 = 461,995.50 : x
  2. Step 2: Convert to fraction form
    217,776/461,995.50 = 461,995.50/x
  3. Step 3: Cross multiply
    217,776x = 461,995.50 × 461,995.50
  4. Step 4: Simplify right side
    217,776x = 213,439,842,020.25
  5. Step 5: Solve for x
    x = 213,439,842,020.25/217,776
  6. Step 6: Final answer
    x = 980,088.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.