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Finding the Third Proportional to 473,972 and 726,798

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Solution

The third proportional to 473,972 and 726,798 is: 1,114,486.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,972 : 726,798 = 726,798 : x
  2. Step 2: Convert to fraction form
    473,972/726,798 = 726,798/x
  3. Step 3: Cross multiply
    473,972x = 726,798 × 726,798
  4. Step 4: Simplify right side
    473,972x = 528,235,332,804
  5. Step 5: Solve for x
    x = 528,235,332,804/473,972
  6. Step 6: Final answer
    x = 1,114,486.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.