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Finding the Third Proportional to 220,358 and 452,332

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Solution

The third proportional to 220,358 and 452,332 is: 928,508.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,358 : 452,332 = 452,332 : x
  2. Step 2: Convert to fraction form
    220,358/452,332 = 452,332/x
  3. Step 3: Cross multiply
    220,358x = 452,332 × 452,332
  4. Step 4: Simplify right side
    220,358x = 204,604,238,224
  5. Step 5: Solve for x
    x = 204,604,238,224/220,358
  6. Step 6: Final answer
    x = 928,508.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.