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Finding the Third Proportional to 565,723.50 and 1,231,075.88

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Solution

The third proportional to 565,723.50 and 1,231,075.88 is: 2,678,955.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,723.50 : 1,231,075.88 = 1,231,075.88 : x
  2. Step 2: Convert to fraction form
    565,723.50/1,231,075.88 = 1,231,075.88/x
  3. Step 3: Cross multiply
    565,723.50x = 1,231,075.88 × 1,231,075.88
  4. Step 4: Simplify right side
    565,723.50x = 1,515,547,810,007.02
  5. Step 5: Solve for x
    x = 1,515,547,810,007.02/565,723.50
  6. Step 6: Final answer
    x = 2,678,955.02

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.