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Finding the Third Proportional to 352,846.13 and 762,068.25

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Solution

The third proportional to 352,846.13 and 762,068.25 is: 1,645,895.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,846.13 : 762,068.25 = 762,068.25 : x
  2. Step 2: Convert to fraction form
    352,846.13/762,068.25 = 762,068.25/x
  3. Step 3: Cross multiply
    352,846.13x = 762,068.25 × 762,068.25
  4. Step 4: Simplify right side
    352,846.13x = 580,748,017,658.06
  5. Step 5: Solve for x
    x = 580,748,017,658.06/352,846.13
  6. Step 6: Final answer
    x = 1,645,895.98

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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.