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Finding the Third Proportional to 361,003 and 561,248

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Solution

The third proportional to 361,003 and 561,248 is: 872,567.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,003 : 561,248 = 561,248 : x
  2. Step 2: Convert to fraction form
    361,003/561,248 = 561,248/x
  3. Step 3: Cross multiply
    361,003x = 561,248 × 561,248
  4. Step 4: Simplify right side
    361,003x = 314,999,317,504
  5. Step 5: Solve for x
    x = 314,999,317,504/361,003
  6. Step 6: Final answer
    x = 872,567.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.