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Finding the Third Proportional to 246,127 and 536,726

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Solution

The third proportional to 246,127 and 536,726 is: 1,170,431.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,127 : 536,726 = 536,726 : x
  2. Step 2: Convert to fraction form
    246,127/536,726 = 536,726/x
  3. Step 3: Cross multiply
    246,127x = 536,726 × 536,726
  4. Step 4: Simplify right side
    246,127x = 288,074,799,076
  5. Step 5: Solve for x
    x = 288,074,799,076/246,127
  6. Step 6: Final answer
    x = 1,170,431.52

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.