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Finding the Third Proportional to 350,052 and 524,964

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Solution

The third proportional to 350,052 and 524,964 is: 787,275.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,052 : 524,964 = 524,964 : x
  2. Step 2: Convert to fraction form
    350,052/524,964 = 524,964/x
  3. Step 3: Cross multiply
    350,052x = 524,964 × 524,964
  4. Step 4: Simplify right side
    350,052x = 275,587,201,296
  5. Step 5: Solve for x
    x = 275,587,201,296/350,052
  6. Step 6: Final answer
    x = 787,275.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.