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Finding the Third Proportional to 294,408 and 466,944

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Solution

The third proportional to 294,408 and 466,944 is: 740,593.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,408 : 466,944 = 466,944 : x
  2. Step 2: Convert to fraction form
    294,408/466,944 = 466,944/x
  3. Step 3: Cross multiply
    294,408x = 466,944 × 466,944
  4. Step 4: Simplify right side
    294,408x = 218,036,699,136
  5. Step 5: Solve for x
    x = 218,036,699,136/294,408
  6. Step 6: Final answer
    x = 740,593.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.