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Finding the Third Proportional to 217,360 and 460,888

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Solution

The third proportional to 217,360 and 460,888 is: 977,262.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,360 : 460,888 = 460,888 : x
  2. Step 2: Convert to fraction form
    217,360/460,888 = 460,888/x
  3. Step 3: Cross multiply
    217,360x = 460,888 × 460,888
  4. Step 4: Simplify right side
    217,360x = 212,417,748,544
  5. Step 5: Solve for x
    x = 212,417,748,544/217,360
  6. Step 6: Final answer
    x = 977,262.37

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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.