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Finding the Third Proportional to 281,501 and 414,803

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Solution

The third proportional to 281,501 and 414,803 is: 611,228.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,501 : 414,803 = 414,803 : x
  2. Step 2: Convert to fraction form
    281,501/414,803 = 414,803/x
  3. Step 3: Cross multiply
    281,501x = 414,803 × 414,803
  4. Step 4: Simplify right side
    281,501x = 172,061,528,809
  5. Step 5: Solve for x
    x = 172,061,528,809/281,501
  6. Step 6: Final answer
    x = 611,228.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.