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Finding the Third Proportional to 350,938.50 and 524,065.50

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Solution

The third proportional to 350,938.50 and 524,065.50 is: 782,600.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,938.50 : 524,065.50 = 524,065.50 : x
  2. Step 2: Convert to fraction form
    350,938.50/524,065.50 = 524,065.50/x
  3. Step 3: Cross multiply
    350,938.50x = 524,065.50 × 524,065.50
  4. Step 4: Simplify right side
    350,938.50x = 274,644,648,290.25
  5. Step 5: Solve for x
    x = 274,644,648,290.25/350,938.50
  6. Step 6: Final answer
    x = 782,600.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.