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Finding the Third Proportional to 532,990.50 and 819,195

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Solution

The third proportional to 532,990.50 and 819,195 is: 1,259,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,990.50 : 819,195 = 819,195 : x
  2. Step 2: Convert to fraction form
    532,990.50/819,195 = 819,195/x
  3. Step 3: Cross multiply
    532,990.50x = 819,195 × 819,195
  4. Step 4: Simplify right side
    532,990.50x = 671,080,448,025
  5. Step 5: Solve for x
    x = 671,080,448,025/532,990.50
  6. Step 6: Final answer
    x = 1,259,085.20

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.