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Finding the Third Proportional to 300,159 and 708,544.13

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Solution

The third proportional to 300,159 and 708,544.13 is: 1,672,562.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,159 : 708,544.13 = 708,544.13 : x
  2. Step 2: Convert to fraction form
    300,159/708,544.13 = 708,544.13/x
  3. Step 3: Cross multiply
    300,159x = 708,544.13 × 708,544.13
  4. Step 4: Simplify right side
    300,159x = 502,034,777,072.02
  5. Step 5: Solve for x
    x = 502,034,777,072.02/300,159
  6. Step 6: Final answer
    x = 1,672,562.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.