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Finding the Third Proportional to 207,460 and 468,778

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Solution

The third proportional to 207,460 and 468,778 is: 1,059,253.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,460 : 468,778 = 468,778 : x
  2. Step 2: Convert to fraction form
    207,460/468,778 = 468,778/x
  3. Step 3: Cross multiply
    207,460x = 468,778 × 468,778
  4. Step 4: Simplify right side
    207,460x = 219,752,813,284
  5. Step 5: Solve for x
    x = 219,752,813,284/207,460
  6. Step 6: Final answer
    x = 1,059,253.90

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.