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Finding the Third Proportional to 517,888 and 787,640

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Solution

The third proportional to 517,888 and 787,640 is: 1,197,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,888 : 787,640 = 787,640 : x
  2. Step 2: Convert to fraction form
    517,888/787,640 = 787,640/x
  3. Step 3: Cross multiply
    517,888x = 787,640 × 787,640
  4. Step 4: Simplify right side
    517,888x = 620,376,769,600
  5. Step 5: Solve for x
    x = 620,376,769,600/517,888
  6. Step 6: Final answer
    x = 1,197,897.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.