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Finding the Third Proportional to 349,672 and 724,232

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Solution

The third proportional to 349,672 and 724,232 is: 1,500,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,672 : 724,232 = 724,232 : x
  2. Step 2: Convert to fraction form
    349,672/724,232 = 724,232/x
  3. Step 3: Cross multiply
    349,672x = 724,232 × 724,232
  4. Step 4: Simplify right side
    349,672x = 524,511,989,824
  5. Step 5: Solve for x
    x = 524,511,989,824/349,672
  6. Step 6: Final answer
    x = 1,500,011.41

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.