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Finding the Third Proportional to 319,408 and 532,368

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Solution

The third proportional to 319,408 and 532,368 is: 887,315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,408 : 532,368 = 532,368 : x
  2. Step 2: Convert to fraction form
    319,408/532,368 = 532,368/x
  3. Step 3: Cross multiply
    319,408x = 532,368 × 532,368
  4. Step 4: Simplify right side
    319,408x = 283,415,687,424
  5. Step 5: Solve for x
    x = 283,415,687,424/319,408
  6. Step 6: Final answer
    x = 887,315.56

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.