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Finding the Third Proportional to 318,722 and 466,602

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Solution

The third proportional to 318,722 and 466,602 is: 683,095.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,722 : 466,602 = 466,602 : x
  2. Step 2: Convert to fraction form
    318,722/466,602 = 466,602/x
  3. Step 3: Cross multiply
    318,722x = 466,602 × 466,602
  4. Step 4: Simplify right side
    318,722x = 217,717,426,404
  5. Step 5: Solve for x
    x = 217,717,426,404/318,722
  6. Step 6: Final answer
    x = 683,095.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.