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Finding the Third Proportional to 541,502.72 and 841,869.70

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Solution

The third proportional to 541,502.72 and 841,869.70 is: 1,308,847.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,502.72 : 841,869.70 = 841,869.70 : x
  2. Step 2: Convert to fraction form
    541,502.72/841,869.70 = 841,869.70/x
  3. Step 3: Cross multiply
    541,502.72x = 841,869.70 × 841,869.70
  4. Step 4: Simplify right side
    541,502.72x = 708,744,597,039.78
  5. Step 5: Solve for x
    x = 708,744,597,039.78/541,502.72
  6. Step 6: Final answer
    x = 1,308,847.72

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Why These Related Problems?

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