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Finding the Third Proportional to 508,516.50 and 743,680.50

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Solution

The third proportional to 508,516.50 and 743,680.50 is: 1,087,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,516.50 : 743,680.50 = 743,680.50 : x
  2. Step 2: Convert to fraction form
    508,516.50/743,680.50 = 743,680.50/x
  3. Step 3: Cross multiply
    508,516.50x = 743,680.50 × 743,680.50
  4. Step 4: Simplify right side
    508,516.50x = 553,060,686,080.25
  5. Step 5: Solve for x
    x = 553,060,686,080.25/508,516.50
  6. Step 6: Final answer
    x = 1,087,596.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.