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Finding the Third Proportional to 336,313.13 and 510,697.13

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Solution

The third proportional to 336,313.13 and 510,697.13 is: 775,502.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,313.13 : 510,697.13 = 510,697.13 : x
  2. Step 2: Convert to fraction form
    336,313.13/510,697.13 = 510,697.13/x
  3. Step 3: Cross multiply
    336,313.13x = 510,697.13 × 510,697.13
  4. Step 4: Simplify right side
    336,313.13x = 260,811,553,483.27
  5. Step 5: Solve for x
    x = 260,811,553,483.27/336,313.13
  6. Step 6: Final answer
    x = 775,502.16

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.