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Finding the Third Proportional to 293,592 and 563,853

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Solution

The third proportional to 293,592 and 563,853 is: 1,082,898.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,592 : 563,853 = 563,853 : x
  2. Step 2: Convert to fraction form
    293,592/563,853 = 563,853/x
  3. Step 3: Cross multiply
    293,592x = 563,853 × 563,853
  4. Step 4: Simplify right side
    293,592x = 317,930,205,609
  5. Step 5: Solve for x
    x = 317,930,205,609/293,592
  6. Step 6: Final answer
    x = 1,082,898.05

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.