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Finding the Third Proportional to 329,725,984.50 and 510,083,831.25

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Solution

The third proportional to 329,725,984.50 and 510,083,831.25 is: 789,096,180.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,725,984.50 : 510,083,831.25 = 510,083,831.25 : x
  2. Step 2: Convert to fraction form
    329,725,984.50/510,083,831.25 = 510,083,831.25/x
  3. Step 3: Cross multiply
    329,725,984.50x = 510,083,831.25 × 510,083,831.25
  4. Step 4: Simplify right side
    329,725,984.50x = 260,185,514,902,678,464
  5. Step 5: Solve for x
    x = 260,185,514,902,678,464/329,725,984.50
  6. Step 6: Final answer
    x = 789,096,180.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.