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Finding the Third Proportional to 301,440 and 654,720

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Solution

The third proportional to 301,440 and 654,720 is: 1,422,035.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,440 : 654,720 = 654,720 : x
  2. Step 2: Convert to fraction form
    301,440/654,720 = 654,720/x
  3. Step 3: Cross multiply
    301,440x = 654,720 × 654,720
  4. Step 4: Simplify right side
    301,440x = 428,658,278,400
  5. Step 5: Solve for x
    x = 428,658,278,400/301,440
  6. Step 6: Final answer
    x = 1,422,035.16

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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.