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Finding the Third Proportional to 301,779 and 655,476

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Solution

The third proportional to 301,779 and 655,476 is: 1,423,719.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,779 : 655,476 = 655,476 : x
  2. Step 2: Convert to fraction form
    301,779/655,476 = 655,476/x
  3. Step 3: Cross multiply
    301,779x = 655,476 × 655,476
  4. Step 4: Simplify right side
    301,779x = 429,648,786,576
  5. Step 5: Solve for x
    x = 429,648,786,576/301,779
  6. Step 6: Final answer
    x = 1,423,719.96

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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.