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Finding the Third Proportional to 322,526,467.50 and 498,047,869.50

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Solution

The third proportional to 322,526,467.50 and 498,047,869.50 is: 769,089,378.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,526,467.50 : 498,047,869.50 = 498,047,869.50 : x
  2. Step 2: Convert to fraction form
    322,526,467.50/498,047,869.50 = 498,047,869.50/x
  3. Step 3: Cross multiply
    322,526,467.50x = 498,047,869.50 × 498,047,869.50
  4. Step 4: Simplify right side
    322,526,467.50x = 248,051,680,313,489,024
  5. Step 5: Solve for x
    x = 248,051,680,313,489,024/322,526,467.50
  6. Step 6: Final answer
    x = 769,089,378.11

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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.