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Finding the Third Proportional to 319,412 and 532,374

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Solution

The third proportional to 319,412 and 532,374 is: 887,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,412 : 532,374 = 532,374 : x
  2. Step 2: Convert to fraction form
    319,412/532,374 = 532,374/x
  3. Step 3: Cross multiply
    319,412x = 532,374 × 532,374
  4. Step 4: Simplify right side
    319,412x = 283,422,075,876
  5. Step 5: Solve for x
    x = 283,422,075,876/319,412
  6. Step 6: Final answer
    x = 887,324.45

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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.