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Finding the Third Proportional to 310,330.50 and 725,232

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Solution

The third proportional to 310,330.50 and 725,232 is: 1,694,842.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,330.50 : 725,232 = 725,232 : x
  2. Step 2: Convert to fraction form
    310,330.50/725,232 = 725,232/x
  3. Step 3: Cross multiply
    310,330.50x = 725,232 × 725,232
  4. Step 4: Simplify right side
    310,330.50x = 525,961,453,824
  5. Step 5: Solve for x
    x = 525,961,453,824/310,330.50
  6. Step 6: Final answer
    x = 1,694,842.93

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.