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Finding the Third Proportional to 544,565 and 799,351

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Solution

The third proportional to 544,565 and 799,351 is: 1,173,343.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,565 : 799,351 = 799,351 : x
  2. Step 2: Convert to fraction form
    544,565/799,351 = 799,351/x
  3. Step 3: Cross multiply
    544,565x = 799,351 × 799,351
  4. Step 4: Simplify right side
    544,565x = 638,962,021,201
  5. Step 5: Solve for x
    x = 638,962,021,201/544,565
  6. Step 6: Final answer
    x = 1,173,343.90

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.