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Finding the Third Proportional to 350,932.50 and 524,056.50

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Solution

The third proportional to 350,932.50 and 524,056.50 is: 782,587.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,932.50 : 524,056.50 = 524,056.50 : x
  2. Step 2: Convert to fraction form
    350,932.50/524,056.50 = 524,056.50/x
  3. Step 3: Cross multiply
    350,932.50x = 524,056.50 × 524,056.50
  4. Step 4: Simplify right side
    350,932.50x = 274,635,215,192.25
  5. Step 5: Solve for x
    x = 274,635,215,192.25/350,932.50
  6. Step 6: Final answer
    x = 782,587.01

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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.