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Finding the Third Proportional to 319,309 and 532,160

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Solution

The third proportional to 319,309 and 532,160 is: 886,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,309 : 532,160 = 532,160 : x
  2. Step 2: Convert to fraction form
    319,309/532,160 = 532,160/x
  3. Step 3: Cross multiply
    319,309x = 532,160 × 532,160
  4. Step 4: Simplify right side
    319,309x = 283,194,265,600
  5. Step 5: Solve for x
    x = 283,194,265,600/319,309
  6. Step 6: Final answer
    x = 886,897.22

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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.