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Finding the Third Proportional to 217,491 and 461,094

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Solution

The third proportional to 217,491 and 461,094 is: 977,547.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,491 : 461,094 = 461,094 : x
  2. Step 2: Convert to fraction form
    217,491/461,094 = 461,094/x
  3. Step 3: Cross multiply
    217,491x = 461,094 × 461,094
  4. Step 4: Simplify right side
    217,491x = 212,607,676,836
  5. Step 5: Solve for x
    x = 212,607,676,836/217,491
  6. Step 6: Final answer
    x = 977,547.01

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.