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Finding the Third Proportional to 572,327 and 911,026

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Solution

The third proportional to 572,327 and 911,026 is: 1,450,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,327 : 911,026 = 911,026 : x
  2. Step 2: Convert to fraction form
    572,327/911,026 = 911,026/x
  3. Step 3: Cross multiply
    572,327x = 911,026 × 911,026
  4. Step 4: Simplify right side
    572,327x = 829,968,372,676
  5. Step 5: Solve for x
    x = 829,968,372,676/572,327
  6. Step 6: Final answer
    x = 1,450,164.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.