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Finding the Third Proportional to 524,721 and 810,270

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Solution

The third proportional to 524,721 and 810,270 is: 1,251,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,721 : 810,270 = 810,270 : x
  2. Step 2: Convert to fraction form
    524,721/810,270 = 810,270/x
  3. Step 3: Cross multiply
    524,721x = 810,270 × 810,270
  4. Step 4: Simplify right side
    524,721x = 656,537,472,900
  5. Step 5: Solve for x
    x = 656,537,472,900/524,721
  6. Step 6: Final answer
    x = 1,251,212.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.