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Finding the Third Proportional to 363,071 and 531,714

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Solution

The third proportional to 363,071 and 531,714 is: 778,690.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,071 : 531,714 = 531,714 : x
  2. Step 2: Convert to fraction form
    363,071/531,714 = 531,714/x
  3. Step 3: Cross multiply
    363,071x = 531,714 × 531,714
  4. Step 4: Simplify right side
    363,071x = 282,719,777,796
  5. Step 5: Solve for x
    x = 282,719,777,796/363,071
  6. Step 6: Final answer
    x = 778,690.06

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.