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Finding the Third Proportional to 247,284 and 506,313

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Solution

The third proportional to 247,284 and 506,313 is: 1,036,673.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,284 : 506,313 = 506,313 : x
  2. Step 2: Convert to fraction form
    247,284/506,313 = 506,313/x
  3. Step 3: Cross multiply
    247,284x = 506,313 × 506,313
  4. Step 4: Simplify right side
    247,284x = 256,352,853,969
  5. Step 5: Solve for x
    x = 256,352,853,969/247,284
  6. Step 6: Final answer
    x = 1,036,673.84

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.