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Finding the Third Proportional to 235,059 and 507,519

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Solution

The third proportional to 235,059 and 507,519 is: 1,095,790.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,059 : 507,519 = 507,519 : x
  2. Step 2: Convert to fraction form
    235,059/507,519 = 507,519/x
  3. Step 3: Cross multiply
    235,059x = 507,519 × 507,519
  4. Step 4: Simplify right side
    235,059x = 257,575,535,361
  5. Step 5: Solve for x
    x = 257,575,535,361/235,059
  6. Step 6: Final answer
    x = 1,095,790.99

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.