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Finding the Third Proportional to 359,964 and 787,725

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Solution

The third proportional to 359,964 and 787,725 is: 1,723,813.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,964 : 787,725 = 787,725 : x
  2. Step 2: Convert to fraction form
    359,964/787,725 = 787,725/x
  3. Step 3: Cross multiply
    359,964x = 787,725 × 787,725
  4. Step 4: Simplify right side
    359,964x = 620,510,675,625
  5. Step 5: Solve for x
    x = 620,510,675,625/359,964
  6. Step 6: Final answer
    x = 1,723,813.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.