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Finding the Third Proportional to 560,988.28 and 841,266

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Solution

The third proportional to 560,988.28 and 841,266 is: 1,261,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,988.28 : 841,266 = 841,266 : x
  2. Step 2: Convert to fraction form
    560,988.28/841,266 = 841,266/x
  3. Step 3: Cross multiply
    560,988.28x = 841,266 × 841,266
  4. Step 4: Simplify right side
    560,988.28x = 707,728,482,756
  5. Step 5: Solve for x
    x = 707,728,482,756/560,988.28
  6. Step 6: Final answer
    x = 1,261,574.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.