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Finding the Third Proportional to 364,656 and 787,632

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Solution

The third proportional to 364,656 and 787,632 is: 1,701,231.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,656 : 787,632 = 787,632 : x
  2. Step 2: Convert to fraction form
    364,656/787,632 = 787,632/x
  3. Step 3: Cross multiply
    364,656x = 787,632 × 787,632
  4. Step 4: Simplify right side
    364,656x = 620,364,167,424
  5. Step 5: Solve for x
    x = 620,364,167,424/364,656
  6. Step 6: Final answer
    x = 1,701,231.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.