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Finding the Third Proportional to 524,897 and 810,550

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Solution

The third proportional to 524,897 and 810,550 is: 1,251,657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,897 : 810,550 = 810,550 : x
  2. Step 2: Convert to fraction form
    524,897/810,550 = 810,550/x
  3. Step 3: Cross multiply
    524,897x = 810,550 × 810,550
  4. Step 4: Simplify right side
    524,897x = 656,991,302,500
  5. Step 5: Solve for x
    x = 656,991,302,500/524,897
  6. Step 6: Final answer
    x = 1,251,657.57

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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.