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Finding the Third Proportional to 368,448 and 563,364

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Solution

The third proportional to 368,448 and 563,364 is: 861,394.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,448 : 563,364 = 563,364 : x
  2. Step 2: Convert to fraction form
    368,448/563,364 = 563,364/x
  3. Step 3: Cross multiply
    368,448x = 563,364 × 563,364
  4. Step 4: Simplify right side
    368,448x = 317,378,996,496
  5. Step 5: Solve for x
    x = 317,378,996,496/368,448
  6. Step 6: Final answer
    x = 861,394.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.