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Finding the Third Proportional to 532,986.75 and 819,190.13

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Solution

The third proportional to 532,986.75 and 819,190.13 is: 1,259,079.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,986.75 : 819,190.13 = 819,190.13 : x
  2. Step 2: Convert to fraction form
    532,986.75/819,190.13 = 819,190.13/x
  3. Step 3: Cross multiply
    532,986.75x = 819,190.13 × 819,190.13
  4. Step 4: Simplify right side
    532,986.75x = 671,072,460,897.52
  5. Step 5: Solve for x
    x = 671,072,460,897.52/532,986.75
  6. Step 6: Final answer
    x = 1,259,079.07

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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.