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Finding the Third Proportional to 319,672.50 and 532,712.25

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Solution

The third proportional to 319,672.50 and 532,712.25 is: 887,728.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,672.50 : 532,712.25 = 532,712.25 : x
  2. Step 2: Convert to fraction form
    319,672.50/532,712.25 = 532,712.25/x
  3. Step 3: Cross multiply
    319,672.50x = 532,712.25 × 532,712.25
  4. Step 4: Simplify right side
    319,672.50x = 283,782,341,300.06
  5. Step 5: Solve for x
    x = 283,782,341,300.06/319,672.50
  6. Step 6: Final answer
    x = 887,728.35

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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.