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Finding the Third Proportional to 539,625 and 1,249,384.50

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Solution

The third proportional to 539,625 and 1,249,384.50 is: 2,892,678.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,625 : 1,249,384.50 = 1,249,384.50 : x
  2. Step 2: Convert to fraction form
    539,625/1,249,384.50 = 1,249,384.50/x
  3. Step 3: Cross multiply
    539,625x = 1,249,384.50 × 1,249,384.50
  4. Step 4: Simplify right side
    539,625x = 1,560,961,628,840.25
  5. Step 5: Solve for x
    x = 1,560,961,628,840.25/539,625
  6. Step 6: Final answer
    x = 2,892,678.49

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.