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Finding the Third Proportional to 361,935 and 563,584.50

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Solution

The third proportional to 361,935 and 563,584.50 is: 877,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,935 : 563,584.50 = 563,584.50 : x
  2. Step 2: Convert to fraction form
    361,935/563,584.50 = 563,584.50/x
  3. Step 3: Cross multiply
    361,935x = 563,584.50 × 563,584.50
  4. Step 4: Simplify right side
    361,935x = 317,627,488,640.25
  5. Step 5: Solve for x
    x = 317,627,488,640.25/361,935
  6. Step 6: Final answer
    x = 877,581.58

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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.