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Finding the Third Proportional to 570,294 and 853,728

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Solution

The third proportional to 570,294 and 853,728 is: 1,278,027.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,294 : 853,728 = 853,728 : x
  2. Step 2: Convert to fraction form
    570,294/853,728 = 853,728/x
  3. Step 3: Cross multiply
    570,294x = 853,728 × 853,728
  4. Step 4: Simplify right side
    570,294x = 728,851,497,984
  5. Step 5: Solve for x
    x = 728,851,497,984/570,294
  6. Step 6: Final answer
    x = 1,278,027.65

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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.