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Finding the Third Proportional to 384,048 and 602,478

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Solution

The third proportional to 384,048 and 602,478 is: 945,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,048 : 602,478 = 602,478 : x
  2. Step 2: Convert to fraction form
    384,048/602,478 = 602,478/x
  3. Step 3: Cross multiply
    384,048x = 602,478 × 602,478
  4. Step 4: Simplify right side
    384,048x = 362,979,740,484
  5. Step 5: Solve for x
    x = 362,979,740,484/384,048
  6. Step 6: Final answer
    x = 945,141.60

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.