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Finding the Third Proportional to 514,435.50 and 781,911

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Solution

The third proportional to 514,435.50 and 781,911 is: 1,188,457.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,435.50 : 781,911 = 781,911 : x
  2. Step 2: Convert to fraction form
    514,435.50/781,911 = 781,911/x
  3. Step 3: Cross multiply
    514,435.50x = 781,911 × 781,911
  4. Step 4: Simplify right side
    514,435.50x = 611,384,811,921
  5. Step 5: Solve for x
    x = 611,384,811,921/514,435.50
  6. Step 6: Final answer
    x = 1,188,457.66

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Why These Related Problems?

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