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Finding the Third Proportional to 225,368 and 489,656

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Solution

The third proportional to 225,368 and 489,656 is: 1,063,873.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,368 : 489,656 = 489,656 : x
  2. Step 2: Convert to fraction form
    225,368/489,656 = 489,656/x
  3. Step 3: Cross multiply
    225,368x = 489,656 × 489,656
  4. Step 4: Simplify right side
    225,368x = 239,762,998,336
  5. Step 5: Solve for x
    x = 239,762,998,336/225,368
  6. Step 6: Final answer
    x = 1,063,873.30

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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.