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Finding the Third Proportional to 301,370 and 466,942

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Solution

The third proportional to 301,370 and 466,942 is: 723,478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,370 : 466,942 = 466,942 : x
  2. Step 2: Convert to fraction form
    301,370/466,942 = 466,942/x
  3. Step 3: Cross multiply
    301,370x = 466,942 × 466,942
  4. Step 4: Simplify right side
    301,370x = 218,034,831,364
  5. Step 5: Solve for x
    x = 218,034,831,364/301,370
  6. Step 6: Final answer
    x = 723,478.88

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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.