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Finding the Third Proportional to 352,280.81 and 785,242.69

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Solution

The third proportional to 352,280.81 and 785,242.69 is: 1,750,325.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    352,280.81 : 785,242.69 = 785,242.69 : x
  2. Step 2: Convert to fraction form
    352,280.81/785,242.69 = 785,242.69/x
  3. Step 3: Cross multiply
    352,280.81x = 785,242.69 × 785,242.69
  4. Step 4: Simplify right side
    352,280.81x = 616,606,078,272.22
  5. Step 5: Solve for x
    x = 616,606,078,272.22/352,280.81
  6. Step 6: Final answer
    x = 1,750,325.47

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.