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Finding the Third Proportional to 283,316 and 610,348

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Solution

The third proportional to 283,316 and 610,348 is: 1,314,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,316 : 610,348 = 610,348 : x
  2. Step 2: Convert to fraction form
    283,316/610,348 = 610,348/x
  3. Step 3: Cross multiply
    283,316x = 610,348 × 610,348
  4. Step 4: Simplify right side
    283,316x = 372,524,681,104
  5. Step 5: Solve for x
    x = 372,524,681,104/283,316
  6. Step 6: Final answer
    x = 1,314,873.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.