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Finding the Third Proportional to 384,064 and 602,502

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Solution

The third proportional to 384,064 and 602,502 is: 945,177.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,064 : 602,502 = 602,502 : x
  2. Step 2: Convert to fraction form
    384,064/602,502 = 602,502/x
  3. Step 3: Cross multiply
    384,064x = 602,502 × 602,502
  4. Step 4: Simplify right side
    384,064x = 363,008,660,004
  5. Step 5: Solve for x
    x = 363,008,660,004/384,064
  6. Step 6: Final answer
    x = 945,177.52

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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.