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Finding the Third Proportional to 526,710 and 797,711

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Solution

The third proportional to 526,710 and 797,711 is: 1,208,146.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,710 : 797,711 = 797,711 : x
  2. Step 2: Convert to fraction form
    526,710/797,711 = 797,711/x
  3. Step 3: Cross multiply
    526,710x = 797,711 × 797,711
  4. Step 4: Simplify right side
    526,710x = 636,342,839,521
  5. Step 5: Solve for x
    x = 636,342,839,521/526,710
  6. Step 6: Final answer
    x = 1,208,146.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.