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Finding the Third Proportional to 359,886 and 787,569

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Solution

The third proportional to 359,886 and 787,569 is: 1,723,503.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,886 : 787,569 = 787,569 : x
  2. Step 2: Convert to fraction form
    359,886/787,569 = 787,569/x
  3. Step 3: Cross multiply
    359,886x = 787,569 × 787,569
  4. Step 4: Simplify right side
    359,886x = 620,264,929,761
  5. Step 5: Solve for x
    x = 620,264,929,761/359,886
  6. Step 6: Final answer
    x = 1,723,503.91

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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.