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Finding the Third Proportional to 572,064 and 856,992

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Solution

The third proportional to 572,064 and 856,992 is: 1,283,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,064 : 856,992 = 856,992 : x
  2. Step 2: Convert to fraction form
    572,064/856,992 = 856,992/x
  3. Step 3: Cross multiply
    572,064x = 856,992 × 856,992
  4. Step 4: Simplify right side
    572,064x = 734,435,288,064
  5. Step 5: Solve for x
    x = 734,435,288,064/572,064
  6. Step 6: Final answer
    x = 1,283,834.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.