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Finding the Third Proportional to 210,002 and 466,228

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Solution

The third proportional to 210,002 and 466,228 is: 1,035,078.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,002 : 466,228 = 466,228 : x
  2. Step 2: Convert to fraction form
    210,002/466,228 = 466,228/x
  3. Step 3: Cross multiply
    210,002x = 466,228 × 466,228
  4. Step 4: Simplify right side
    210,002x = 217,368,547,984
  5. Step 5: Solve for x
    x = 217,368,547,984/210,002
  6. Step 6: Final answer
    x = 1,035,078.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.