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Finding the Third Proportional to 361,004.63 and 561,250.13

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Solution

The third proportional to 361,004.63 and 561,250.13 is: 872,569.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,004.63 : 561,250.13 = 561,250.13 : x
  2. Step 2: Convert to fraction form
    361,004.63/561,250.13 = 561,250.13/x
  3. Step 3: Cross multiply
    361,004.63x = 561,250.13 × 561,250.13
  4. Step 4: Simplify right side
    361,004.63x = 315,001,702,812.52
  5. Step 5: Solve for x
    x = 315,001,702,812.52/361,004.63
  6. Step 6: Final answer
    x = 872,569.72

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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.