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Finding the Third Proportional to 285,223,513 and 601,084,298

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Solution

The third proportional to 285,223,513 and 601,084,298 is: 1,266,734,041.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,223,513 : 601,084,298 = 601,084,298 : x
  2. Step 2: Convert to fraction form
    285,223,513/601,084,298 = 601,084,298/x
  3. Step 3: Cross multiply
    285,223,513x = 601,084,298 × 601,084,298
  4. Step 4: Simplify right side
    285,223,513x = 361,302,333,302,152,832
  5. Step 5: Solve for x
    x = 361,302,333,302,152,832/285,223,513
  6. Step 6: Final answer
    x = 1,266,734,041.32

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.