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Finding the Third Proportional to 310,455 and 679,027.50

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Solution

The third proportional to 310,455 and 679,027.50 is: 1,485,169.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,455 : 679,027.50 = 679,027.50 : x
  2. Step 2: Convert to fraction form
    310,455/679,027.50 = 679,027.50/x
  3. Step 3: Cross multiply
    310,455x = 679,027.50 × 679,027.50
  4. Step 4: Simplify right side
    310,455x = 461,078,345,756.25
  5. Step 5: Solve for x
    x = 461,078,345,756.25/310,455
  6. Step 6: Final answer
    x = 1,485,169.66

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.