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Finding the Third Proportional to 532,395 and 1,153,314

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Solution

The third proportional to 532,395 and 1,153,314 is: 2,498,395.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,395 : 1,153,314 = 1,153,314 : x
  2. Step 2: Convert to fraction form
    532,395/1,153,314 = 1,153,314/x
  3. Step 3: Cross multiply
    532,395x = 1,153,314 × 1,153,314
  4. Step 4: Simplify right side
    532,395x = 1,330,133,182,596
  5. Step 5: Solve for x
    x = 1,330,133,182,596/532,395
  6. Step 6: Final answer
    x = 2,498,395.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.