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Finding the Third Proportional to 217,488 and 461,088

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Solution

The third proportional to 217,488 and 461,088 is: 977,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,488 : 461,088 = 461,088 : x
  2. Step 2: Convert to fraction form
    217,488/461,088 = 461,088/x
  3. Step 3: Cross multiply
    217,488x = 461,088 × 461,088
  4. Step 4: Simplify right side
    217,488x = 212,602,143,744
  5. Step 5: Solve for x
    x = 212,602,143,744/217,488
  6. Step 6: Final answer
    x = 977,535.05

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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.