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Finding the Third Proportional to 213,117 and 462,117

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Solution

The third proportional to 213,117 and 462,117 is: 1,002,041.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,117 : 462,117 = 462,117 : x
  2. Step 2: Convert to fraction form
    213,117/462,117 = 462,117/x
  3. Step 3: Cross multiply
    213,117x = 462,117 × 462,117
  4. Step 4: Simplify right side
    213,117x = 213,552,121,689
  5. Step 5: Solve for x
    x = 213,552,121,689/213,117
  6. Step 6: Final answer
    x = 1,002,041.70

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.