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Finding the Third Proportional to 348,146 and 469,724

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Solution

The third proportional to 348,146 and 469,724 is: 633,758.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,146 : 469,724 = 469,724 : x
  2. Step 2: Convert to fraction form
    348,146/469,724 = 469,724/x
  3. Step 3: Cross multiply
    348,146x = 469,724 × 469,724
  4. Step 4: Simplify right side
    348,146x = 220,640,636,176
  5. Step 5: Solve for x
    x = 220,640,636,176/348,146
  6. Step 6: Final answer
    x = 633,758.93

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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.