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Finding the Third Proportional to 348,708 and 538,834.50

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Solution

The third proportional to 348,708 and 538,834.50 is: 832,623.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,708 : 538,834.50 = 538,834.50 : x
  2. Step 2: Convert to fraction form
    348,708/538,834.50 = 538,834.50/x
  3. Step 3: Cross multiply
    348,708x = 538,834.50 × 538,834.50
  4. Step 4: Simplify right side
    348,708x = 290,342,618,390.25
  5. Step 5: Solve for x
    x = 290,342,618,390.25/348,708
  6. Step 6: Final answer
    x = 832,623.91

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.