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Finding the Third Proportional to 601,015 and 859,396

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Solution

The third proportional to 601,015 and 859,396 is: 1,228,856.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,015 : 859,396 = 859,396 : x
  2. Step 2: Convert to fraction form
    601,015/859,396 = 859,396/x
  3. Step 3: Cross multiply
    601,015x = 859,396 × 859,396
  4. Step 4: Simplify right side
    601,015x = 738,561,484,816
  5. Step 5: Solve for x
    x = 738,561,484,816/601,015
  6. Step 6: Final answer
    x = 1,228,856.99

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.