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Finding the Third Proportional to 413,040 and 848,313

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Solution

The third proportional to 413,040 and 848,313 is: 1,742,288.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,040 : 848,313 = 848,313 : x
  2. Step 2: Convert to fraction form
    413,040/848,313 = 848,313/x
  3. Step 3: Cross multiply
    413,040x = 848,313 × 848,313
  4. Step 4: Simplify right side
    413,040x = 719,634,945,969
  5. Step 5: Solve for x
    x = 719,634,945,969/413,040
  6. Step 6: Final answer
    x = 1,742,288.75

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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.