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Finding the Third Proportional to 265,198.50 and 572,760

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Solution

The third proportional to 265,198.50 and 572,760 is: 1,237,013.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,198.50 : 572,760 = 572,760 : x
  2. Step 2: Convert to fraction form
    265,198.50/572,760 = 572,760/x
  3. Step 3: Cross multiply
    265,198.50x = 572,760 × 572,760
  4. Step 4: Simplify right side
    265,198.50x = 328,054,017,600
  5. Step 5: Solve for x
    x = 328,054,017,600/265,198.50
  6. Step 6: Final answer
    x = 1,237,013.10

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.