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Finding the Third Proportional to 340,723.13 and 525,299.63

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Solution

The third proportional to 340,723.13 and 525,299.63 is: 809,864.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,723.13 : 525,299.63 = 525,299.63 : x
  2. Step 2: Convert to fraction form
    340,723.13/525,299.63 = 525,299.63/x
  3. Step 3: Cross multiply
    340,723.13x = 525,299.63 × 525,299.63
  4. Step 4: Simplify right side
    340,723.13x = 275,939,696,025.14
  5. Step 5: Solve for x
    x = 275,939,696,025.14/340,723.13
  6. Step 6: Final answer
    x = 809,864.89

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.