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Finding the Third Proportional to 388,798 and 599,791

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Solution

The third proportional to 388,798 and 599,791 is: 925,285.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,798 : 599,791 = 599,791 : x
  2. Step 2: Convert to fraction form
    388,798/599,791 = 599,791/x
  3. Step 3: Cross multiply
    388,798x = 599,791 × 599,791
  4. Step 4: Simplify right side
    388,798x = 359,749,243,681
  5. Step 5: Solve for x
    x = 359,749,243,681/388,798
  6. Step 6: Final answer
    x = 925,285.74

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.