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Finding the Third Proportional to 415,881 and 594,270

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Solution

The third proportional to 415,881 and 594,270 is: 849,177.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,881 : 594,270 = 594,270 : x
  2. Step 2: Convert to fraction form
    415,881/594,270 = 594,270/x
  3. Step 3: Cross multiply
    415,881x = 594,270 × 594,270
  4. Step 4: Simplify right side
    415,881x = 353,156,832,900
  5. Step 5: Solve for x
    x = 353,156,832,900/415,881
  6. Step 6: Final answer
    x = 849,177.61

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.