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Finding the Third Proportional to 234,210.66 and 503,941.50

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Solution

The third proportional to 234,210.66 and 503,941.50 is: 1,084,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,210.66 : 503,941.50 = 503,941.50 : x
  2. Step 2: Convert to fraction form
    234,210.66/503,941.50 = 503,941.50/x
  3. Step 3: Cross multiply
    234,210.66x = 503,941.50 × 503,941.50
  4. Step 4: Simplify right side
    234,210.66x = 253,957,035,422.25
  5. Step 5: Solve for x
    x = 253,957,035,422.25/234,210.66
  6. Step 6: Final answer
    x = 1,084,310.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.