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Finding the Third Proportional to 264,804,132 and 413,299,278

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Solution

The third proportional to 264,804,132 and 413,299,278 is: 645,066,570.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,804,132 : 413,299,278 = 413,299,278 : x
  2. Step 2: Convert to fraction form
    264,804,132/413,299,278 = 413,299,278/x
  3. Step 3: Cross multiply
    264,804,132x = 413,299,278 × 413,299,278
  4. Step 4: Simplify right side
    264,804,132x = 170,816,293,195,321,280
  5. Step 5: Solve for x
    x = 170,816,293,195,321,280/264,804,132
  6. Step 6: Final answer
    x = 645,066,570.17

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.