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Finding the Third Proportional to 348,727.78 and 712,195.03

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Solution

The third proportional to 348,727.78 and 712,195.03 is: 1,454,491.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,727.78 : 712,195.03 = 712,195.03 : x
  2. Step 2: Convert to fraction form
    348,727.78/712,195.03 = 712,195.03/x
  3. Step 3: Cross multiply
    348,727.78x = 712,195.03 × 712,195.03
  4. Step 4: Simplify right side
    348,727.78x = 507,221,762,537.19
  5. Step 5: Solve for x
    x = 507,221,762,537.19/348,727.78
  6. Step 6: Final answer
    x = 1,454,491.98

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.