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Finding the Third Proportional to 255,969 and 558,522

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Solution

The third proportional to 255,969 and 558,522 is: 1,218,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,969 : 558,522 = 558,522 : x
  2. Step 2: Convert to fraction form
    255,969/558,522 = 558,522/x
  3. Step 3: Cross multiply
    255,969x = 558,522 × 558,522
  4. Step 4: Simplify right side
    255,969x = 311,946,824,484
  5. Step 5: Solve for x
    x = 311,946,824,484/255,969
  6. Step 6: Final answer
    x = 1,218,689.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.