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Finding the Third Proportional to 348,150 and 469,737

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Solution

The third proportional to 348,150 and 469,737 is: 633,786.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,150 : 469,737 = 469,737 : x
  2. Step 2: Convert to fraction form
    348,150/469,737 = 469,737/x
  3. Step 3: Cross multiply
    348,150x = 469,737 × 469,737
  4. Step 4: Simplify right side
    348,150x = 220,652,849,169
  5. Step 5: Solve for x
    x = 220,652,849,169/348,150
  6. Step 6: Final answer
    x = 633,786.73

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