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Finding the Third Proportional to 352,082.63 and 760,290.75

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Solution

The third proportional to 352,082.63 and 760,290.75 is: 1,641,779.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,082.63 : 760,290.75 = 760,290.75 : x
  2. Step 2: Convert to fraction form
    352,082.63/760,290.75 = 760,290.75/x
  3. Step 3: Cross multiply
    352,082.63x = 760,290.75 × 760,290.75
  4. Step 4: Simplify right side
    352,082.63x = 578,042,024,535.56
  5. Step 5: Solve for x
    x = 578,042,024,535.56/352,082.63
  6. Step 6: Final answer
    x = 1,641,779.47

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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.