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Finding the Third Proportional to 393,208 and 924,332

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Solution

The third proportional to 393,208 and 924,332 is: 2,172,869.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,208 : 924,332 = 924,332 : x
  2. Step 2: Convert to fraction form
    393,208/924,332 = 924,332/x
  3. Step 3: Cross multiply
    393,208x = 924,332 × 924,332
  4. Step 4: Simplify right side
    393,208x = 854,389,646,224
  5. Step 5: Solve for x
    x = 854,389,646,224/393,208
  6. Step 6: Final answer
    x = 2,172,869.44

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.