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Finding the Third Proportional to 435,456 and 653,184

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Solution

The third proportional to 435,456 and 653,184 is: 979,776

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,456 : 653,184 = 653,184 : x
  2. Step 2: Convert to fraction form
    435,456/653,184 = 653,184/x
  3. Step 3: Cross multiply
    435,456x = 653,184 × 653,184
  4. Step 4: Simplify right side
    435,456x = 426,649,337,856
  5. Step 5: Solve for x
    x = 426,649,337,856/435,456
  6. Step 6: Final answer
    x = 979,776

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.