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Finding the Third Proportional to 343,612.13 and 525,624.19

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Solution

The third proportional to 343,612.13 and 525,624.19 is: 804,048.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,612.13 : 525,624.19 = 525,624.19 : x
  2. Step 2: Convert to fraction form
    343,612.13/525,624.19 = 525,624.19/x
  3. Step 3: Cross multiply
    343,612.13x = 525,624.19 × 525,624.19
  4. Step 4: Simplify right side
    343,612.13x = 276,280,786,485.04
  5. Step 5: Solve for x
    x = 276,280,786,485.04/343,612.13
  6. Step 6: Final answer
    x = 804,048.42

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.