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Finding the Third Proportional to 210,355 and 461,534

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Solution

The third proportional to 210,355 and 461,534 is: 1,012,638.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,355 : 461,534 = 461,534 : x
  2. Step 2: Convert to fraction form
    210,355/461,534 = 461,534/x
  3. Step 3: Cross multiply
    210,355x = 461,534 × 461,534
  4. Step 4: Simplify right side
    210,355x = 213,013,633,156
  5. Step 5: Solve for x
    x = 213,013,633,156/210,355
  6. Step 6: Final answer
    x = 1,012,638.79

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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.