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Finding the Third Proportional to 282,277.41 and 402,397.03

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Solution

The third proportional to 282,277.41 and 402,397.03 is: 573,632.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,277.41 : 402,397.03 = 402,397.03 : x
  2. Step 2: Convert to fraction form
    282,277.41/402,397.03 = 402,397.03/x
  3. Step 3: Cross multiply
    282,277.41x = 402,397.03 × 402,397.03
  4. Step 4: Simplify right side
    282,277.41x = 161,923,370,758.81
  5. Step 5: Solve for x
    x = 161,923,370,758.81/282,277.41
  6. Step 6: Final answer
    x = 573,632.06

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.