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Finding the Third Proportional to 233,498 and 369,795

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Solution

The third proportional to 233,498 and 369,795 is: 585,651.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,498 : 369,795 = 369,795 : x
  2. Step 2: Convert to fraction form
    233,498/369,795 = 369,795/x
  3. Step 3: Cross multiply
    233,498x = 369,795 × 369,795
  4. Step 4: Simplify right side
    233,498x = 136,748,342,025
  5. Step 5: Solve for x
    x = 136,748,342,025/233,498
  6. Step 6: Final answer
    x = 585,651.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.