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Finding the Third Proportional to 359,966 and 787,729

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Solution

The third proportional to 359,966 and 787,729 is: 1,723,821.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,966 : 787,729 = 787,729 : x
  2. Step 2: Convert to fraction form
    359,966/787,729 = 787,729/x
  3. Step 3: Cross multiply
    359,966x = 787,729 × 787,729
  4. Step 4: Simplify right side
    359,966x = 620,516,977,441
  5. Step 5: Solve for x
    x = 620,516,977,441/359,966
  6. Step 6: Final answer
    x = 1,723,821.08

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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.