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Finding the Third Proportional to 312,022 and 608,492

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Solution

The third proportional to 312,022 and 608,492 is: 1,186,655.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,022 : 608,492 = 608,492 : x
  2. Step 2: Convert to fraction form
    312,022/608,492 = 608,492/x
  3. Step 3: Cross multiply
    312,022x = 608,492 × 608,492
  4. Step 4: Simplify right side
    312,022x = 370,262,514,064
  5. Step 5: Solve for x
    x = 370,262,514,064/312,022
  6. Step 6: Final answer
    x = 1,186,655.15

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.