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Finding the Third Proportional to 210,321 and 461,466

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Solution

The third proportional to 210,321 and 461,466 is: 1,012,504.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,321 : 461,466 = 461,466 : x
  2. Step 2: Convert to fraction form
    210,321/461,466 = 461,466/x
  3. Step 3: Cross multiply
    210,321x = 461,466 × 461,466
  4. Step 4: Simplify right side
    210,321x = 212,950,869,156
  5. Step 5: Solve for x
    x = 212,950,869,156/210,321
  6. Step 6: Final answer
    x = 1,012,504.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.