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Finding the Third Proportional to 696,320 and 939,497

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Solution

The third proportional to 696,320 and 939,497 is: 1,267,599.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,320 : 939,497 = 939,497 : x
  2. Step 2: Convert to fraction form
    696,320/939,497 = 939,497/x
  3. Step 3: Cross multiply
    696,320x = 939,497 × 939,497
  4. Step 4: Simplify right side
    696,320x = 882,654,613,009
  5. Step 5: Solve for x
    x = 882,654,613,009/696,320
  6. Step 6: Final answer
    x = 1,267,599.11

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.