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Finding the Third Proportional to 350,926 and 524,050

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Solution

The third proportional to 350,926 and 524,050 is: 782,582.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,926 : 524,050 = 524,050 : x
  2. Step 2: Convert to fraction form
    350,926/524,050 = 524,050/x
  3. Step 3: Cross multiply
    350,926x = 524,050 × 524,050
  4. Step 4: Simplify right side
    350,926x = 274,628,402,500
  5. Step 5: Solve for x
    x = 274,628,402,500/350,926
  6. Step 6: Final answer
    x = 782,582.09

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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.