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Finding the Third Proportional to 358,716 and 787,092

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Solution

The third proportional to 358,716 and 787,092 is: 1,727,031.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,716 : 787,092 = 787,092 : x
  2. Step 2: Convert to fraction form
    358,716/787,092 = 787,092/x
  3. Step 3: Cross multiply
    358,716x = 787,092 × 787,092
  4. Step 4: Simplify right side
    358,716x = 619,513,816,464
  5. Step 5: Solve for x
    x = 619,513,816,464/358,716
  6. Step 6: Final answer
    x = 1,727,031.46

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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.