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Finding the Third Proportional to 476,788 and 720,040

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Solution

The third proportional to 476,788 and 720,040 is: 1,087,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,788 : 720,040 = 720,040 : x
  2. Step 2: Convert to fraction form
    476,788/720,040 = 720,040/x
  3. Step 3: Cross multiply
    476,788x = 720,040 × 720,040
  4. Step 4: Simplify right side
    476,788x = 518,457,601,600
  5. Step 5: Solve for x
    x = 518,457,601,600/476,788
  6. Step 6: Final answer
    x = 1,087,396.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.