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Finding the Third Proportional to 290,711,542 and 446,844,483

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Solution

The third proportional to 290,711,542 and 446,844,483 is: 686,832,007.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,711,542 : 446,844,483 = 446,844,483 : x
  2. Step 2: Convert to fraction form
    290,711,542/446,844,483 = 446,844,483/x
  3. Step 3: Cross multiply
    290,711,542x = 446,844,483 × 446,844,483
  4. Step 4: Simplify right side
    290,711,542x = 199,669,991,987,537,280
  5. Step 5: Solve for x
    x = 199,669,991,987,537,280/290,711,542
  6. Step 6: Final answer
    x = 686,832,007.47

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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.