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Finding the Third Proportional to 301,772 and 655,468

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Solution

The third proportional to 301,772 and 655,468 is: 1,423,718.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,772 : 655,468 = 655,468 : x
  2. Step 2: Convert to fraction form
    301,772/655,468 = 655,468/x
  3. Step 3: Cross multiply
    301,772x = 655,468 × 655,468
  4. Step 4: Simplify right side
    301,772x = 429,638,299,024
  5. Step 5: Solve for x
    x = 429,638,299,024/301,772
  6. Step 6: Final answer
    x = 1,423,718.23

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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.