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Finding the Third Proportional to 368,571 and 788,376

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Solution

The third proportional to 368,571 and 788,376 is: 1,686,341.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,571 : 788,376 = 788,376 : x
  2. Step 2: Convert to fraction form
    368,571/788,376 = 788,376/x
  3. Step 3: Cross multiply
    368,571x = 788,376 × 788,376
  4. Step 4: Simplify right side
    368,571x = 621,536,717,376
  5. Step 5: Solve for x
    x = 621,536,717,376/368,571
  6. Step 6: Final answer
    x = 1,686,341.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.