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Finding the Third Proportional to 323,434,494 and 528,083,597.25

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Solution

The third proportional to 323,434,494 and 528,083,597.25 is: 862,221,843.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,434,494 : 528,083,597.25 = 528,083,597.25 : x
  2. Step 2: Convert to fraction form
    323,434,494/528,083,597.25 = 528,083,597.25/x
  3. Step 3: Cross multiply
    323,434,494x = 528,083,597.25 × 528,083,597.25
  4. Step 4: Simplify right side
    323,434,494x = 278,872,285,684,500,192
  5. Step 5: Solve for x
    x = 278,872,285,684,500,192/323,434,494
  6. Step 6: Final answer
    x = 862,221,843.55

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.