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Finding the Third Proportional to 309,408 and 478,683

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Solution

The third proportional to 309,408 and 478,683 is: 740,567.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,408 : 478,683 = 478,683 : x
  2. Step 2: Convert to fraction form
    309,408/478,683 = 478,683/x
  3. Step 3: Cross multiply
    309,408x = 478,683 × 478,683
  4. Step 4: Simplify right side
    309,408x = 229,137,414,489
  5. Step 5: Solve for x
    x = 229,137,414,489/309,408
  6. Step 6: Final answer
    x = 740,567.19

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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.