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Finding the Third Proportional to 348,148 and 469,727

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Solution

The third proportional to 348,148 and 469,727 is: 633,763.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,148 : 469,727 = 469,727 : x
  2. Step 2: Convert to fraction form
    348,148/469,727 = 469,727/x
  3. Step 3: Cross multiply
    348,148x = 469,727 × 469,727
  4. Step 4: Simplify right side
    348,148x = 220,643,454,529
  5. Step 5: Solve for x
    x = 220,643,454,529/348,148
  6. Step 6: Final answer
    x = 633,763.38

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.