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Finding the Third Proportional to 210,376 and 456,419.25

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Solution

The third proportional to 210,376 and 456,419.25 is: 990,220.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,376 : 456,419.25 = 456,419.25 : x
  2. Step 2: Convert to fraction form
    210,376/456,419.25 = 456,419.25/x
  3. Step 3: Cross multiply
    210,376x = 456,419.25 × 456,419.25
  4. Step 4: Simplify right side
    210,376x = 208,318,531,770.56
  5. Step 5: Solve for x
    x = 208,318,531,770.56/210,376
  6. Step 6: Final answer
    x = 990,220.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.