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Finding the Third Proportional to 526,896 and 817,376

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Solution

The third proportional to 526,896 and 817,376 is: 1,267,998.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,896 : 817,376 = 817,376 : x
  2. Step 2: Convert to fraction form
    526,896/817,376 = 817,376/x
  3. Step 3: Cross multiply
    526,896x = 817,376 × 817,376
  4. Step 4: Simplify right side
    526,896x = 668,103,525,376
  5. Step 5: Solve for x
    x = 668,103,525,376/526,896
  6. Step 6: Final answer
    x = 1,267,998.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.