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Finding the Third Proportional to 489,306 and 756,228

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Solution

The third proportional to 489,306 and 756,228 is: 1,168,758.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,306 : 756,228 = 756,228 : x
  2. Step 2: Convert to fraction form
    489,306/756,228 = 756,228/x
  3. Step 3: Cross multiply
    489,306x = 756,228 × 756,228
  4. Step 4: Simplify right side
    489,306x = 571,880,787,984
  5. Step 5: Solve for x
    x = 571,880,787,984/489,306
  6. Step 6: Final answer
    x = 1,168,758.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.