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Finding the Third Proportional to 336,655 and 535,944

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Solution

The third proportional to 336,655 and 535,944 is: 853,205.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,655 : 535,944 = 535,944 : x
  2. Step 2: Convert to fraction form
    336,655/535,944 = 535,944/x
  3. Step 3: Cross multiply
    336,655x = 535,944 × 535,944
  4. Step 4: Simplify right side
    336,655x = 287,235,971,136
  5. Step 5: Solve for x
    x = 287,235,971,136/336,655
  6. Step 6: Final answer
    x = 853,205.72

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.