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Finding the Third Proportional to 295,744 and 641,313

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Solution

The third proportional to 295,744 and 641,313 is: 1,390,670.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,744 : 641,313 = 641,313 : x
  2. Step 2: Convert to fraction form
    295,744/641,313 = 641,313/x
  3. Step 3: Cross multiply
    295,744x = 641,313 × 641,313
  4. Step 4: Simplify right side
    295,744x = 411,282,363,969
  5. Step 5: Solve for x
    x = 411,282,363,969/295,744
  6. Step 6: Final answer
    x = 1,390,670.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.