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Finding the Third Proportional to 286,264.13 and 388,777.13

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Solution

The third proportional to 286,264.13 and 388,777.13 is: 528,000.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,264.13 : 388,777.13 = 388,777.13 : x
  2. Step 2: Convert to fraction form
    286,264.13/388,777.13 = 388,777.13/x
  3. Step 3: Cross multiply
    286,264.13x = 388,777.13 × 388,777.13
  4. Step 4: Simplify right side
    286,264.13x = 151,147,652,923.27
  5. Step 5: Solve for x
    x = 151,147,652,923.27/286,264.13
  6. Step 6: Final answer
    x = 528,000.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.