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Finding the Third Proportional to 348,374.25 and 527,377.50

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Solution

The third proportional to 348,374.25 and 527,377.50 is: 798,357.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,374.25 : 527,377.50 = 527,377.50 : x
  2. Step 2: Convert to fraction form
    348,374.25/527,377.50 = 527,377.50/x
  3. Step 3: Cross multiply
    348,374.25x = 527,377.50 × 527,377.50
  4. Step 4: Simplify right side
    348,374.25x = 278,127,027,506.25
  5. Step 5: Solve for x
    x = 278,127,027,506.25/348,374.25
  6. Step 6: Final answer
    x = 798,357.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.