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Finding the Third Proportional to 571,504 and 783,687.50

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Solution

The third proportional to 571,504 and 783,687.50 is: 1,074,648.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,504 : 783,687.50 = 783,687.50 : x
  2. Step 2: Convert to fraction form
    571,504/783,687.50 = 783,687.50/x
  3. Step 3: Cross multiply
    571,504x = 783,687.50 × 783,687.50
  4. Step 4: Simplify right side
    571,504x = 614,166,097,656.25
  5. Step 5: Solve for x
    x = 614,166,097,656.25/571,504
  6. Step 6: Final answer
    x = 1,074,648.82

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.