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Finding the Third Proportional to 489,318 and 756,243

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Solution

The third proportional to 489,318 and 756,243 is: 1,168,776.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,318 : 756,243 = 756,243 : x
  2. Step 2: Convert to fraction form
    489,318/756,243 = 756,243/x
  3. Step 3: Cross multiply
    489,318x = 756,243 × 756,243
  4. Step 4: Simplify right side
    489,318x = 571,903,475,049
  5. Step 5: Solve for x
    x = 571,903,475,049/489,318
  6. Step 6: Final answer
    x = 1,168,776.70

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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.