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Finding the Third Proportional to 472,905 and 726,894

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Solution

The third proportional to 472,905 and 726,894 is: 1,117,296.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,905 : 726,894 = 726,894 : x
  2. Step 2: Convert to fraction form
    472,905/726,894 = 726,894/x
  3. Step 3: Cross multiply
    472,905x = 726,894 × 726,894
  4. Step 4: Simplify right side
    472,905x = 528,374,887,236
  5. Step 5: Solve for x
    x = 528,374,887,236/472,905
  6. Step 6: Final answer
    x = 1,117,296.05

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.