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Finding the Third Proportional to 336,998 and 506,865

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Solution

The third proportional to 336,998 and 506,865 is: 762,355.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,998 : 506,865 = 506,865 : x
  2. Step 2: Convert to fraction form
    336,998/506,865 = 506,865/x
  3. Step 3: Cross multiply
    336,998x = 506,865 × 506,865
  4. Step 4: Simplify right side
    336,998x = 256,912,128,225
  5. Step 5: Solve for x
    x = 256,912,128,225/336,998
  6. Step 6: Final answer
    x = 762,355.05

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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.