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Finding the Third Proportional to 299,840.91 and 655,732.55

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Solution

The third proportional to 299,840.91 and 655,732.55 is: 1,434,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,840.91 : 655,732.55 = 655,732.55 : x
  2. Step 2: Convert to fraction form
    299,840.91/655,732.55 = 655,732.55/x
  3. Step 3: Cross multiply
    299,840.91x = 655,732.55 × 655,732.55
  4. Step 4: Simplify right side
    299,840.91x = 429,985,173,031.17
  5. Step 5: Solve for x
    x = 429,985,173,031.17/299,840.91
  6. Step 6: Final answer
    x = 1,434,044.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.