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Finding the Third Proportional to 289,442 and 617,116

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Solution

The third proportional to 289,442 and 617,116 is: 1,315,746.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,442 : 617,116 = 617,116 : x
  2. Step 2: Convert to fraction form
    289,442/617,116 = 617,116/x
  3. Step 3: Cross multiply
    289,442x = 617,116 × 617,116
  4. Step 4: Simplify right side
    289,442x = 380,832,157,456
  5. Step 5: Solve for x
    x = 380,832,157,456/289,442
  6. Step 6: Final answer
    x = 1,315,746.01

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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.