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Finding the Third Proportional to 572,048 and 856,968

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Solution

The third proportional to 572,048 and 856,968 is: 1,283,798.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    572,048 : 856,968 = 856,968 : x
  2. Step 2: Convert to fraction form
    572,048/856,968 = 856,968/x
  3. Step 3: Cross multiply
    572,048x = 856,968 × 856,968
  4. Step 4: Simplify right side
    572,048x = 734,394,153,024
  5. Step 5: Solve for x
    x = 734,394,153,024/572,048
  6. Step 6: Final answer
    x = 1,283,798.13

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