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Finding the Third Proportional to 322,526,463.75 and 498,047,863.50

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Solution

The third proportional to 322,526,463.75 and 498,047,863.50 is: 769,089,368.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,463.75 : 498,047,863.50 = 498,047,863.50 : x
  2. Step 2: Convert to fraction form
    322,526,463.75/498,047,863.50 = 498,047,863.50/x
  3. Step 3: Cross multiply
    322,526,463.75x = 498,047,863.50 × 498,047,863.50
  4. Step 4: Simplify right side
    322,526,463.75x = 248,051,674,336,914,624
  5. Step 5: Solve for x
    x = 248,051,674,336,914,624/322,526,463.75
  6. Step 6: Final answer
    x = 769,089,368.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.