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Finding the Third Proportional to 392,026 and 858,776

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Solution

The third proportional to 392,026 and 858,776 is: 1,881,243.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,026 : 858,776 = 858,776 : x
  2. Step 2: Convert to fraction form
    392,026/858,776 = 858,776/x
  3. Step 3: Cross multiply
    392,026x = 858,776 × 858,776
  4. Step 4: Simplify right side
    392,026x = 737,496,218,176
  5. Step 5: Solve for x
    x = 737,496,218,176/392,026
  6. Step 6: Final answer
    x = 1,881,243.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.