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Finding the Third Proportional to 526,896 and 817,056

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Solution

The third proportional to 526,896 and 817,056 is: 1,267,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,896 : 817,056 = 817,056 : x
  2. Step 2: Convert to fraction form
    526,896/817,056 = 817,056/x
  3. Step 3: Cross multiply
    526,896x = 817,056 × 817,056
  4. Step 4: Simplify right side
    526,896x = 667,580,507,136
  5. Step 5: Solve for x
    x = 667,580,507,136/526,896
  6. Step 6: Final answer
    x = 1,267,006.22

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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.