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Finding the Third Proportional to 246,618 and 537,524

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Solution

The third proportional to 246,618 and 537,524 is: 1,171,577.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,618 : 537,524 = 537,524 : x
  2. Step 2: Convert to fraction form
    246,618/537,524 = 537,524/x
  3. Step 3: Cross multiply
    246,618x = 537,524 × 537,524
  4. Step 4: Simplify right side
    246,618x = 288,932,050,576
  5. Step 5: Solve for x
    x = 288,932,050,576/246,618
  6. Step 6: Final answer
    x = 1,171,577.30

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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.