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Finding the Third Proportional to 409,708.13 and 620,095.50

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Solution

The third proportional to 409,708.13 and 620,095.50 is: 938,517.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,708.13 : 620,095.50 = 620,095.50 : x
  2. Step 2: Convert to fraction form
    409,708.13/620,095.50 = 620,095.50/x
  3. Step 3: Cross multiply
    409,708.13x = 620,095.50 × 620,095.50
  4. Step 4: Simplify right side
    409,708.13x = 384,518,429,120.25
  5. Step 5: Solve for x
    x = 384,518,429,120.25/409,708.13
  6. Step 6: Final answer
    x = 938,517.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.