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Finding the Third Proportional to 304,215 and 472,915.88

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Solution

The third proportional to 304,215 and 472,915.88 is: 735,168.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,215 : 472,915.88 = 472,915.88 : x
  2. Step 2: Convert to fraction form
    304,215/472,915.88 = 472,915.88/x
  3. Step 3: Cross multiply
    304,215x = 472,915.88 × 472,915.88
  4. Step 4: Simplify right side
    304,215x = 223,649,424,827.02
  5. Step 5: Solve for x
    x = 223,649,424,827.02/304,215
  6. Step 6: Final answer
    x = 735,168.96

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