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Finding the Third Proportional to 341,789.63 and 748,014.75

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Solution

The third proportional to 341,789.63 and 748,014.75 is: 1,637,048.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,789.63 : 748,014.75 = 748,014.75 : x
  2. Step 2: Convert to fraction form
    341,789.63/748,014.75 = 748,014.75/x
  3. Step 3: Cross multiply
    341,789.63x = 748,014.75 × 748,014.75
  4. Step 4: Simplify right side
    341,789.63x = 559,526,066,217.56
  5. Step 5: Solve for x
    x = 559,526,066,217.56/341,789.63
  6. Step 6: Final answer
    x = 1,637,048.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.