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Finding the Third Proportional to 210,475 and 461,696

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Solution

The third proportional to 210,475 and 461,696 is: 1,012,772.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,475 : 461,696 = 461,696 : x
  2. Step 2: Convert to fraction form
    210,475/461,696 = 461,696/x
  3. Step 3: Cross multiply
    210,475x = 461,696 × 461,696
  4. Step 4: Simplify right side
    210,475x = 213,163,196,416
  5. Step 5: Solve for x
    x = 213,163,196,416/210,475
  6. Step 6: Final answer
    x = 1,012,772.05

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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.