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Finding the Third Proportional to 554,771 and 708,894

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Solution

The third proportional to 554,771 and 708,894 is: 905,834.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,771 : 708,894 = 708,894 : x
  2. Step 2: Convert to fraction form
    554,771/708,894 = 708,894/x
  3. Step 3: Cross multiply
    554,771x = 708,894 × 708,894
  4. Step 4: Simplify right side
    554,771x = 502,530,703,236
  5. Step 5: Solve for x
    x = 502,530,703,236/554,771
  6. Step 6: Final answer
    x = 905,834.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.