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Finding the Third Proportional to 329,458,869 and 497,564,725.50

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Solution

The third proportional to 329,458,869 and 497,564,725.50 is: 751,446,324.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,458,869 : 497,564,725.50 = 497,564,725.50 : x
  2. Step 2: Convert to fraction form
    329,458,869/497,564,725.50 = 497,564,725.50/x
  3. Step 3: Cross multiply
    329,458,869x = 497,564,725.50 × 497,564,725.50
  4. Step 4: Simplify right side
    329,458,869x = 247,570,656,061,890,336
  5. Step 5: Solve for x
    x = 247,570,656,061,890,336/329,458,869
  6. Step 6: Final answer
    x = 751,446,324.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.