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Finding the Third Proportional to 253,521 and 389,714

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Solution

The third proportional to 253,521 and 389,714 is: 599,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,521 : 389,714 = 389,714 : x
  2. Step 2: Convert to fraction form
    253,521/389,714 = 389,714/x
  3. Step 3: Cross multiply
    253,521x = 389,714 × 389,714
  4. Step 4: Simplify right side
    253,521x = 151,877,001,796
  5. Step 5: Solve for x
    x = 151,877,001,796/253,521
  6. Step 6: Final answer
    x = 599,070.70

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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.