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Finding the Third Proportional to 375,030 and 810,042.75

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Solution

The third proportional to 375,030 and 810,042.75 is: 1,749,644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,030 : 810,042.75 = 810,042.75 : x
  2. Step 2: Convert to fraction form
    375,030/810,042.75 = 810,042.75/x
  3. Step 3: Cross multiply
    375,030x = 810,042.75 × 810,042.75
  4. Step 4: Simplify right side
    375,030x = 656,169,256,827.56
  5. Step 5: Solve for x
    x = 656,169,256,827.56/375,030
  6. Step 6: Final answer
    x = 1,749,644.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.