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Finding the Third Proportional to 217,862 and 469,095

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Solution

The third proportional to 217,862 and 469,095 is: 1,010,043.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,862 : 469,095 = 469,095 : x
  2. Step 2: Convert to fraction form
    217,862/469,095 = 469,095/x
  3. Step 3: Cross multiply
    217,862x = 469,095 × 469,095
  4. Step 4: Simplify right side
    217,862x = 220,050,119,025
  5. Step 5: Solve for x
    x = 220,050,119,025/217,862
  6. Step 6: Final answer
    x = 1,010,043.60

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.