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Finding the Third Proportional to 323,599 and 506,522

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Solution

The third proportional to 323,599 and 506,522 is: 792,847.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,599 : 506,522 = 506,522 : x
  2. Step 2: Convert to fraction form
    323,599/506,522 = 506,522/x
  3. Step 3: Cross multiply
    323,599x = 506,522 × 506,522
  4. Step 4: Simplify right side
    323,599x = 256,564,536,484
  5. Step 5: Solve for x
    x = 256,564,536,484/323,599
  6. Step 6: Final answer
    x = 792,847.12

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.