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Finding the Third Proportional to 269,955.38 and 590,756.81

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Solution

The third proportional to 269,955.38 and 590,756.81 is: 1,292,782.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,955.38 : 590,756.81 = 590,756.81 : x
  2. Step 2: Convert to fraction form
    269,955.38/590,756.81 = 590,756.81/x
  3. Step 3: Cross multiply
    269,955.38x = 590,756.81 × 590,756.81
  4. Step 4: Simplify right side
    269,955.38x = 348,993,611,515.16
  5. Step 5: Solve for x
    x = 348,993,611,515.16/269,955.38
  6. Step 6: Final answer
    x = 1,292,782.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.