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Finding the Third Proportional to 252,348 and 369,690

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Solution

The third proportional to 252,348 and 369,690 is: 541,596.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,348 : 369,690 = 369,690 : x
  2. Step 2: Convert to fraction form
    252,348/369,690 = 369,690/x
  3. Step 3: Cross multiply
    252,348x = 369,690 × 369,690
  4. Step 4: Simplify right side
    252,348x = 136,670,696,100
  5. Step 5: Solve for x
    x = 136,670,696,100/252,348
  6. Step 6: Final answer
    x = 541,596.11

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.