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Finding the Third Proportional to 350,389 and 532,669.50

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Solution

The third proportional to 350,389 and 532,669.50 is: 809,776.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,389 : 532,669.50 = 532,669.50 : x
  2. Step 2: Convert to fraction form
    350,389/532,669.50 = 532,669.50/x
  3. Step 3: Cross multiply
    350,389x = 532,669.50 × 532,669.50
  4. Step 4: Simplify right side
    350,389x = 283,736,796,230.25
  5. Step 5: Solve for x
    x = 283,736,796,230.25/350,389
  6. Step 6: Final answer
    x = 809,776.55

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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.