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Finding the Third Proportional to 305,060 and 463,810

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Solution

The third proportional to 305,060 and 463,810 is: 705,171.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,060 : 463,810 = 463,810 : x
  2. Step 2: Convert to fraction form
    305,060/463,810 = 463,810/x
  3. Step 3: Cross multiply
    305,060x = 463,810 × 463,810
  4. Step 4: Simplify right side
    305,060x = 215,119,716,100
  5. Step 5: Solve for x
    x = 215,119,716,100/305,060
  6. Step 6: Final answer
    x = 705,171.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.