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Finding the Third Proportional to 335,816,494 and 726,639,592.25

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Solution

The third proportional to 335,816,494 and 726,639,592.25 is: 1,572,302,452.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,816,494 : 726,639,592.25 = 726,639,592.25 : x
  2. Step 2: Convert to fraction form
    335,816,494/726,639,592.25 = 726,639,592.25/x
  3. Step 3: Cross multiply
    335,816,494x = 726,639,592.25 × 726,639,592.25
  4. Step 4: Simplify right side
    335,816,494x = 528,005,097,025,246,272
  5. Step 5: Solve for x
    x = 528,005,097,025,246,272/335,816,494
  6. Step 6: Final answer
    x = 1,572,302,452.26

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.