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Finding the Third Proportional to 539,614.50 and 779,583

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Solution

The third proportional to 539,614.50 and 779,583 is: 1,126,266.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,614.50 : 779,583 = 779,583 : x
  2. Step 2: Convert to fraction form
    539,614.50/779,583 = 779,583/x
  3. Step 3: Cross multiply
    539,614.50x = 779,583 × 779,583
  4. Step 4: Simplify right side
    539,614.50x = 607,749,653,889
  5. Step 5: Solve for x
    x = 607,749,653,889/539,614.50
  6. Step 6: Final answer
    x = 1,126,266.35

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.