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Finding the Third Proportional to 262,827.28 and 571,786.59

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Solution

The third proportional to 262,827.28 and 571,786.59 is: 1,243,934.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,827.28 : 571,786.59 = 571,786.59 : x
  2. Step 2: Convert to fraction form
    262,827.28/571,786.59 = 571,786.59/x
  3. Step 3: Cross multiply
    262,827.28x = 571,786.59 × 571,786.59
  4. Step 4: Simplify right side
    262,827.28x = 326,939,908,792.23
  5. Step 5: Solve for x
    x = 326,939,908,792.23/262,827.28
  6. Step 6: Final answer
    x = 1,243,934.45

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Why These Related Problems?

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