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Finding the Third Proportional to 348,714 and 538,843.50

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Solution

The third proportional to 348,714 and 538,843.50 is: 832,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,714 : 538,843.50 = 538,843.50 : x
  2. Step 2: Convert to fraction form
    348,714/538,843.50 = 538,843.50/x
  3. Step 3: Cross multiply
    348,714x = 538,843.50 × 538,843.50
  4. Step 4: Simplify right side
    348,714x = 290,352,317,492.25
  5. Step 5: Solve for x
    x = 290,352,317,492.25/348,714
  6. Step 6: Final answer
    x = 832,637.40

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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.