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Finding the Third Proportional to 319,374 and 532,259

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Solution

The third proportional to 319,374 and 532,259 is: 887,046.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,374 : 532,259 = 532,259 : x
  2. Step 2: Convert to fraction form
    319,374/532,259 = 532,259/x
  3. Step 3: Cross multiply
    319,374x = 532,259 × 532,259
  4. Step 4: Simplify right side
    319,374x = 283,299,643,081
  5. Step 5: Solve for x
    x = 283,299,643,081/319,374
  6. Step 6: Final answer
    x = 887,046.67

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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.