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Finding the Third Proportional to 393,984 and 602,412.19

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Solution

The third proportional to 393,984 and 602,412.19 is: 921,104.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,984 : 602,412.19 = 602,412.19 : x
  2. Step 2: Convert to fraction form
    393,984/602,412.19 = 602,412.19/x
  3. Step 3: Cross multiply
    393,984x = 602,412.19 × 602,412.19
  4. Step 4: Simplify right side
    393,984x = 362,900,443,648.54
  5. Step 5: Solve for x
    x = 362,900,443,648.54/393,984
  6. Step 6: Final answer
    x = 921,104.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.