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Finding the Third Proportional to 341,111.25 and 533,506.50

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Solution

The third proportional to 341,111.25 and 533,506.50 is: 834,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,111.25 : 533,506.50 = 533,506.50 : x
  2. Step 2: Convert to fraction form
    341,111.25/533,506.50 = 533,506.50/x
  3. Step 3: Cross multiply
    341,111.25x = 533,506.50 × 533,506.50
  4. Step 4: Simplify right side
    341,111.25x = 284,629,185,542.25
  5. Step 5: Solve for x
    x = 284,629,185,542.25/341,111.25
  6. Step 6: Final answer
    x = 834,417.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.