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Finding the Third Proportional to 355,230 and 527,433

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Solution

The third proportional to 355,230 and 527,433 is: 783,113.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,230 : 527,433 = 527,433 : x
  2. Step 2: Convert to fraction form
    355,230/527,433 = 527,433/x
  3. Step 3: Cross multiply
    355,230x = 527,433 × 527,433
  4. Step 4: Simplify right side
    355,230x = 278,185,569,489
  5. Step 5: Solve for x
    x = 278,185,569,489/355,230
  6. Step 6: Final answer
    x = 783,113.95

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.