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Finding the Third Proportional to 348,032.25 and 737,246.25

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Solution

The third proportional to 348,032.25 and 737,246.25 is: 1,561,728.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,032.25 : 737,246.25 = 737,246.25 : x
  2. Step 2: Convert to fraction form
    348,032.25/737,246.25 = 737,246.25/x
  3. Step 3: Cross multiply
    348,032.25x = 737,246.25 × 737,246.25
  4. Step 4: Simplify right side
    348,032.25x = 543,532,033,139.06
  5. Step 5: Solve for x
    x = 543,532,033,139.06/348,032.25
  6. Step 6: Final answer
    x = 1,561,728.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.