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Finding the Third Proportional to 524,700 and 810,241

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Solution

The third proportional to 524,700 and 810,241 is: 1,251,173.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,700 : 810,241 = 810,241 : x
  2. Step 2: Convert to fraction form
    524,700/810,241 = 810,241/x
  3. Step 3: Cross multiply
    524,700x = 810,241 × 810,241
  4. Step 4: Simplify right side
    524,700x = 656,490,478,081
  5. Step 5: Solve for x
    x = 656,490,478,081/524,700
  6. Step 6: Final answer
    x = 1,251,173.01

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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.