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Finding the Third Proportional to 292,286 and 438,470

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Solution

The third proportional to 292,286 and 438,470 is: 657,766.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,286 : 438,470 = 438,470 : x
  2. Step 2: Convert to fraction form
    292,286/438,470 = 438,470/x
  3. Step 3: Cross multiply
    292,286x = 438,470 × 438,470
  4. Step 4: Simplify right side
    292,286x = 192,255,940,900
  5. Step 5: Solve for x
    x = 192,255,940,900/292,286
  6. Step 6: Final answer
    x = 657,766.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.