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Finding the Third Proportional to 314,568 and 500,348

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Solution

The third proportional to 314,568 and 500,348 is: 795,847.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,568 : 500,348 = 500,348 : x
  2. Step 2: Convert to fraction form
    314,568/500,348 = 500,348/x
  3. Step 3: Cross multiply
    314,568x = 500,348 × 500,348
  4. Step 4: Simplify right side
    314,568x = 250,348,121,104
  5. Step 5: Solve for x
    x = 250,348,121,104/314,568
  6. Step 6: Final answer
    x = 795,847.39

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.