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Finding the Third Proportional to 306,541.13 and 459,909.56

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Solution

The third proportional to 306,541.13 and 459,909.56 is: 690,011.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,541.13 : 459,909.56 = 459,909.56 : x
  2. Step 2: Convert to fraction form
    306,541.13/459,909.56 = 459,909.56/x
  3. Step 3: Cross multiply
    306,541.13x = 459,909.56 × 459,909.56
  4. Step 4: Simplify right side
    306,541.13x = 211,516,805,678.94
  5. Step 5: Solve for x
    x = 211,516,805,678.94/306,541.13
  6. Step 6: Final answer
    x = 690,011.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.