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Finding the Third Proportional to 366,876 and 524,070

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Solution

The third proportional to 366,876 and 524,070 is: 748,616.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,876 : 524,070 = 524,070 : x
  2. Step 2: Convert to fraction form
    366,876/524,070 = 524,070/x
  3. Step 3: Cross multiply
    366,876x = 524,070 × 524,070
  4. Step 4: Simplify right side
    366,876x = 274,649,364,900
  5. Step 5: Solve for x
    x = 274,649,364,900/366,876
  6. Step 6: Final answer
    x = 748,616.33

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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.