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Finding the Third Proportional to 368,394 and 563,283

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Solution

The third proportional to 368,394 and 563,283 is: 861,272.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,394 : 563,283 = 563,283 : x
  2. Step 2: Convert to fraction form
    368,394/563,283 = 563,283/x
  3. Step 3: Cross multiply
    368,394x = 563,283 × 563,283
  4. Step 4: Simplify right side
    368,394x = 317,287,738,089
  5. Step 5: Solve for x
    x = 317,287,738,089/368,394
  6. Step 6: Final answer
    x = 861,272.82

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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.