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Finding the Third Proportional to 209,916 and 453,000

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Solution

The third proportional to 209,916 and 453,000 is: 977,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,916 : 453,000 = 453,000 : x
  2. Step 2: Convert to fraction form
    209,916/453,000 = 453,000/x
  3. Step 3: Cross multiply
    209,916x = 453,000 × 453,000
  4. Step 4: Simplify right side
    209,916x = 205,209,000,000
  5. Step 5: Solve for x
    x = 205,209,000,000/209,916
  6. Step 6: Final answer
    x = 977,576.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.