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Finding the Third Proportional to 538,714 and 834,127

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Solution

The third proportional to 538,714 and 834,127 is: 1,291,534.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,714 : 834,127 = 834,127 : x
  2. Step 2: Convert to fraction form
    538,714/834,127 = 834,127/x
  3. Step 3: Cross multiply
    538,714x = 834,127 × 834,127
  4. Step 4: Simplify right side
    538,714x = 695,767,852,129
  5. Step 5: Solve for x
    x = 695,767,852,129/538,714
  6. Step 6: Final answer
    x = 1,291,534.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.