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Finding the Third Proportional to 359,903.88 and 833,191.95

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Solution

The third proportional to 359,903.88 and 833,191.95 is: 1,928,872.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,903.88 : 833,191.95 = 833,191.95 : x
  2. Step 2: Convert to fraction form
    359,903.88/833,191.95 = 833,191.95/x
  3. Step 3: Cross multiply
    359,903.88x = 833,191.95 × 833,191.95
  4. Step 4: Simplify right side
    359,903.88x = 694,208,817,733.63
  5. Step 5: Solve for x
    x = 694,208,817,733.63/359,903.88
  6. Step 6: Final answer
    x = 1,928,872.82

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.