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Finding the Third Proportional to 539,289 and 838,363.50

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Solution

The third proportional to 539,289 and 838,363.50 is: 1,303,296.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,289 : 838,363.50 = 838,363.50 : x
  2. Step 2: Convert to fraction form
    539,289/838,363.50 = 838,363.50/x
  3. Step 3: Cross multiply
    539,289x = 838,363.50 × 838,363.50
  4. Step 4: Simplify right side
    539,289x = 702,853,358,132.25
  5. Step 5: Solve for x
    x = 702,853,358,132.25/539,289
  6. Step 6: Final answer
    x = 1,303,296.30

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.