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Finding the Third Proportional to 220,656 and 472,416

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Solution

The third proportional to 220,656 and 472,416 is: 1,011,424.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,656 : 472,416 = 472,416 : x
  2. Step 2: Convert to fraction form
    220,656/472,416 = 472,416/x
  3. Step 3: Cross multiply
    220,656x = 472,416 × 472,416
  4. Step 4: Simplify right side
    220,656x = 223,176,877,056
  5. Step 5: Solve for x
    x = 223,176,877,056/220,656
  6. Step 6: Final answer
    x = 1,011,424.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.