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Finding the Third Proportional to 292,659,182 and 420,653,907

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Solution

The third proportional to 292,659,182 and 420,653,907 is: 604,627,226.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,659,182 : 420,653,907 = 420,653,907 : x
  2. Step 2: Convert to fraction form
    292,659,182/420,653,907 = 420,653,907/x
  3. Step 3: Cross multiply
    292,659,182x = 420,653,907 × 420,653,907
  4. Step 4: Simplify right side
    292,659,182x = 176,949,709,474,364,640
  5. Step 5: Solve for x
    x = 176,949,709,474,364,640/292,659,182
  6. Step 6: Final answer
    x = 604,627,226.34

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.