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Finding the Third Proportional to 319,329 and 532,192.50

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Solution

The third proportional to 319,329 and 532,192.50 is: 886,950.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,329 : 532,192.50 = 532,192.50 : x
  2. Step 2: Convert to fraction form
    319,329/532,192.50 = 532,192.50/x
  3. Step 3: Cross multiply
    319,329x = 532,192.50 × 532,192.50
  4. Step 4: Simplify right side
    319,329x = 283,228,857,056.25
  5. Step 5: Solve for x
    x = 283,228,857,056.25/319,329
  6. Step 6: Final answer
    x = 886,950.00

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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.