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Finding the Third Proportional to 266,496 and 410,035

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Solution

The third proportional to 266,496 and 410,035 is: 630,886.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,496 : 410,035 = 410,035 : x
  2. Step 2: Convert to fraction form
    266,496/410,035 = 410,035/x
  3. Step 3: Cross multiply
    266,496x = 410,035 × 410,035
  4. Step 4: Simplify right side
    266,496x = 168,128,701,225
  5. Step 5: Solve for x
    x = 168,128,701,225/266,496
  6. Step 6: Final answer
    x = 630,886.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.