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Finding the Third Proportional to 359,948.81 and 787,694.63

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Solution

The third proportional to 359,948.81 and 787,694.63 is: 1,723,752.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,948.81 : 787,694.63 = 787,694.63 : x
  2. Step 2: Convert to fraction form
    359,948.81/787,694.63 = 787,694.63/x
  3. Step 3: Cross multiply
    359,948.81x = 787,694.63 × 787,694.63
  4. Step 4: Simplify right side
    359,948.81x = 620,462,822,253.89
  5. Step 5: Solve for x
    x = 620,462,822,253.89/359,948.81
  6. Step 6: Final answer
    x = 1,723,752.94

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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.