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Finding the Third Proportional to 387,924 and 602,064

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Solution

The third proportional to 387,924 and 602,064 is: 934,412.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,924 : 602,064 = 602,064 : x
  2. Step 2: Convert to fraction form
    387,924/602,064 = 602,064/x
  3. Step 3: Cross multiply
    387,924x = 602,064 × 602,064
  4. Step 4: Simplify right side
    387,924x = 362,481,060,096
  5. Step 5: Solve for x
    x = 362,481,060,096/387,924
  6. Step 6: Final answer
    x = 934,412.57

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.