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Finding the Third Proportional to 343,288.13 and 531,106.88

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Solution

The third proportional to 343,288.13 and 531,106.88 is: 821,684.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,288.13 : 531,106.88 = 531,106.88 : x
  2. Step 2: Convert to fraction form
    343,288.13/531,106.88 = 531,106.88/x
  3. Step 3: Cross multiply
    343,288.13x = 531,106.88 × 531,106.88
  4. Step 4: Simplify right side
    343,288.13x = 282,074,512,672.27
  5. Step 5: Solve for x
    x = 282,074,512,672.27/343,288.13
  6. Step 6: Final answer
    x = 821,684.45

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.