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Finding the Third Proportional to 514,390.50 and 693,886.50

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Solution

The third proportional to 514,390.50 and 693,886.50 is: 936,017.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,390.50 : 693,886.50 = 693,886.50 : x
  2. Step 2: Convert to fraction form
    514,390.50/693,886.50 = 693,886.50/x
  3. Step 3: Cross multiply
    514,390.50x = 693,886.50 × 693,886.50
  4. Step 4: Simplify right side
    514,390.50x = 481,478,474,882.25
  5. Step 5: Solve for x
    x = 481,478,474,882.25/514,390.50
  6. Step 6: Final answer
    x = 936,017.43

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.