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Finding the Third Proportional to 289,443 and 617,118

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Solution

The third proportional to 289,443 and 617,118 is: 1,315,750.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,443 : 617,118 = 617,118 : x
  2. Step 2: Convert to fraction form
    289,443/617,118 = 617,118/x
  3. Step 3: Cross multiply
    289,443x = 617,118 × 617,118
  4. Step 4: Simplify right side
    289,443x = 380,834,625,924
  5. Step 5: Solve for x
    x = 380,834,625,924/289,443
  6. Step 6: Final answer
    x = 1,315,750.00

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.