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Finding the Third Proportional to 696,272 and 939,423

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Solution

The third proportional to 696,272 and 939,423 is: 1,267,486.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,272 : 939,423 = 939,423 : x
  2. Step 2: Convert to fraction form
    696,272/939,423 = 939,423/x
  3. Step 3: Cross multiply
    696,272x = 939,423 × 939,423
  4. Step 4: Simplify right side
    696,272x = 882,515,572,929
  5. Step 5: Solve for x
    x = 882,515,572,929/696,272
  6. Step 6: Final answer
    x = 1,267,486.81

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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.