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Finding the Third Proportional to 350,025 and 528,244.50

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Solution

The third proportional to 350,025 and 528,244.50 is: 797,206.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,025 : 528,244.50 = 528,244.50 : x
  2. Step 2: Convert to fraction form
    350,025/528,244.50 = 528,244.50/x
  3. Step 3: Cross multiply
    350,025x = 528,244.50 × 528,244.50
  4. Step 4: Simplify right side
    350,025x = 279,042,251,780.25
  5. Step 5: Solve for x
    x = 279,042,251,780.25/350,025
  6. Step 6: Final answer
    x = 797,206.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.