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Finding the Third Proportional to 344,846 and 535,201

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Solution

The third proportional to 344,846 and 535,201 is: 830,631.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,846 : 535,201 = 535,201 : x
  2. Step 2: Convert to fraction form
    344,846/535,201 = 535,201/x
  3. Step 3: Cross multiply
    344,846x = 535,201 × 535,201
  4. Step 4: Simplify right side
    344,846x = 286,440,110,401
  5. Step 5: Solve for x
    x = 286,440,110,401/344,846
  6. Step 6: Final answer
    x = 830,631.96

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.