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Finding the Third Proportional to 348,643 and 538,732.50

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Solution

The third proportional to 348,643 and 538,732.50 is: 832,463.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,643 : 538,732.50 = 538,732.50 : x
  2. Step 2: Convert to fraction form
    348,643/538,732.50 = 538,732.50/x
  3. Step 3: Cross multiply
    348,643x = 538,732.50 × 538,732.50
  4. Step 4: Simplify right side
    348,643x = 290,232,706,556.25
  5. Step 5: Solve for x
    x = 290,232,706,556.25/348,643
  6. Step 6: Final answer
    x = 832,463.89

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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.