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Finding the Third Proportional to 266,461.50 and 551,715

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Solution

The third proportional to 266,461.50 and 551,715 is: 1,142,339.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,461.50 : 551,715 = 551,715 : x
  2. Step 2: Convert to fraction form
    266,461.50/551,715 = 551,715/x
  3. Step 3: Cross multiply
    266,461.50x = 551,715 × 551,715
  4. Step 4: Simplify right side
    266,461.50x = 304,389,441,225
  5. Step 5: Solve for x
    x = 304,389,441,225/266,461.50
  6. Step 6: Final answer
    x = 1,142,339.29

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.