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Finding the Third Proportional to 572,311 and 885,770

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Solution

The third proportional to 572,311 and 885,770 is: 1,370,912.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,311 : 885,770 = 885,770 : x
  2. Step 2: Convert to fraction form
    572,311/885,770 = 885,770/x
  3. Step 3: Cross multiply
    572,311x = 885,770 × 885,770
  4. Step 4: Simplify right side
    572,311x = 784,588,492,900
  5. Step 5: Solve for x
    x = 784,588,492,900/572,311
  6. Step 6: Final answer
    x = 1,370,912.83

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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.