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Finding the Third Proportional to 292,215 and 466,823

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Solution

The third proportional to 292,215 and 466,823 is: 745,764.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,215 : 466,823 = 466,823 : x
  2. Step 2: Convert to fraction form
    292,215/466,823 = 466,823/x
  3. Step 3: Cross multiply
    292,215x = 466,823 × 466,823
  4. Step 4: Simplify right side
    292,215x = 217,923,713,329
  5. Step 5: Solve for x
    x = 217,923,713,329/292,215
  6. Step 6: Final answer
    x = 745,764.98

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.