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Finding the Third Proportional to 524,802 and 835,471

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Solution

The third proportional to 524,802 and 835,471 is: 1,330,047.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,802 : 835,471 = 835,471 : x
  2. Step 2: Convert to fraction form
    524,802/835,471 = 835,471/x
  3. Step 3: Cross multiply
    524,802x = 835,471 × 835,471
  4. Step 4: Simplify right side
    524,802x = 698,011,791,841
  5. Step 5: Solve for x
    x = 698,011,791,841/524,802
  6. Step 6: Final answer
    x = 1,330,047.89

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.