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Finding the Third Proportional to 314,437.50 and 498,237.75

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Solution

The third proportional to 314,437.50 and 498,237.75 is: 789,475.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,437.50 : 498,237.75 = 498,237.75 : x
  2. Step 2: Convert to fraction form
    314,437.50/498,237.75 = 498,237.75/x
  3. Step 3: Cross multiply
    314,437.50x = 498,237.75 × 498,237.75
  4. Step 4: Simplify right side
    314,437.50x = 248,240,855,525.06
  5. Step 5: Solve for x
    x = 248,240,855,525.06/314,437.50
  6. Step 6: Final answer
    x = 789,475.99

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.