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Finding the Third Proportional to 572,305 and 885,761

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Solution

The third proportional to 572,305 and 885,761 is: 1,370,899.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,305 : 885,761 = 885,761 : x
  2. Step 2: Convert to fraction form
    572,305/885,761 = 885,761/x
  3. Step 3: Cross multiply
    572,305x = 885,761 × 885,761
  4. Step 4: Simplify right side
    572,305x = 784,572,549,121
  5. Step 5: Solve for x
    x = 784,572,549,121/572,305
  6. Step 6: Final answer
    x = 1,370,899.34

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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.