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Finding the Third Proportional to 291,177 and 617,346

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Solution

The third proportional to 291,177 and 617,346 is: 1,308,881.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,177 : 617,346 = 617,346 : x
  2. Step 2: Convert to fraction form
    291,177/617,346 = 617,346/x
  3. Step 3: Cross multiply
    291,177x = 617,346 × 617,346
  4. Step 4: Simplify right side
    291,177x = 381,116,083,716
  5. Step 5: Solve for x
    x = 381,116,083,716/291,177
  6. Step 6: Final answer
    x = 1,308,881.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.