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Finding the Third Proportional to 269,052 and 565,987.50

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Solution

The third proportional to 269,052 and 565,987.50 is: 1,190,631.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,052 : 565,987.50 = 565,987.50 : x
  2. Step 2: Convert to fraction form
    269,052/565,987.50 = 565,987.50/x
  3. Step 3: Cross multiply
    269,052x = 565,987.50 × 565,987.50
  4. Step 4: Simplify right side
    269,052x = 320,341,850,156.25
  5. Step 5: Solve for x
    x = 320,341,850,156.25/269,052
  6. Step 6: Final answer
    x = 1,190,631.74

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.