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Finding the Third Proportional to 210,465 and 461,677

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Solution

The third proportional to 210,465 and 461,677 is: 1,012,736.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,465 : 461,677 = 461,677 : x
  2. Step 2: Convert to fraction form
    210,465/461,677 = 461,677/x
  3. Step 3: Cross multiply
    210,465x = 461,677 × 461,677
  4. Step 4: Simplify right side
    210,465x = 213,145,652,329
  5. Step 5: Solve for x
    x = 213,145,652,329/210,465
  6. Step 6: Final answer
    x = 1,012,736.81

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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.