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Finding the Third Proportional to 354,066.75 and 561,508.88

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Solution

The third proportional to 354,066.75 and 561,508.88 is: 890,488.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,066.75 : 561,508.88 = 561,508.88 : x
  2. Step 2: Convert to fraction form
    354,066.75/561,508.88 = 561,508.88/x
  3. Step 3: Cross multiply
    354,066.75x = 561,508.88 × 561,508.88
  4. Step 4: Simplify right side
    354,066.75x = 315,292,216,703.77
  5. Step 5: Solve for x
    x = 315,292,216,703.77/354,066.75
  6. Step 6: Final answer
    x = 890,488.07

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.