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Finding the Third Proportional to 329,580,685 and 498,612,835.50

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Solution

The third proportional to 329,580,685 and 498,612,835.50 is: 754,336,558.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,580,685 : 498,612,835.50 = 498,612,835.50 : x
  2. Step 2: Convert to fraction form
    329,580,685/498,612,835.50 = 498,612,835.50/x
  3. Step 3: Cross multiply
    329,580,685x = 498,612,835.50 × 498,612,835.50
  4. Step 4: Simplify right side
    329,580,685x = 248,614,759,725,350,048
  5. Step 5: Solve for x
    x = 248,614,759,725,350,048/329,580,685
  6. Step 6: Final answer
    x = 754,336,558.66

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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.