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Finding the Third Proportional to 261,994.50 and 564,127.88

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Solution

The third proportional to 261,994.50 and 564,127.88 is: 1,214,682.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,994.50 : 564,127.88 = 564,127.88 : x
  2. Step 2: Convert to fraction form
    261,994.50/564,127.88 = 564,127.88/x
  3. Step 3: Cross multiply
    261,994.50x = 564,127.88 × 564,127.88
  4. Step 4: Simplify right side
    261,994.50x = 318,240,259,352.02
  5. Step 5: Solve for x
    x = 318,240,259,352.02/261,994.50
  6. Step 6: Final answer
    x = 1,214,682.98

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.