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Finding the Third Proportional to 245,877 and 536,437

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Solution

The third proportional to 245,877 and 536,437 is: 1,170,360.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,877 : 536,437 = 536,437 : x
  2. Step 2: Convert to fraction form
    245,877/536,437 = 536,437/x
  3. Step 3: Cross multiply
    245,877x = 536,437 × 536,437
  4. Step 4: Simplify right side
    245,877x = 287,764,654,969
  5. Step 5: Solve for x
    x = 287,764,654,969/245,877
  6. Step 6: Final answer
    x = 1,170,360.20

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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.