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Finding the Third Proportional to 361,934 and 563,584

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Solution

The third proportional to 361,934 and 563,584 is: 877,582.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,934 : 563,584 = 563,584 : x
  2. Step 2: Convert to fraction form
    361,934/563,584 = 563,584/x
  3. Step 3: Cross multiply
    361,934x = 563,584 × 563,584
  4. Step 4: Simplify right side
    361,934x = 317,626,925,056
  5. Step 5: Solve for x
    x = 317,626,925,056/361,934
  6. Step 6: Final answer
    x = 877,582.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.