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Finding the Third Proportional to 466,803 and 720,927

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Solution

The third proportional to 466,803 and 720,927 is: 1,113,394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,803 : 720,927 = 720,927 : x
  2. Step 2: Convert to fraction form
    466,803/720,927 = 720,927/x
  3. Step 3: Cross multiply
    466,803x = 720,927 × 720,927
  4. Step 4: Simplify right side
    466,803x = 519,735,739,329
  5. Step 5: Solve for x
    x = 519,735,739,329/466,803
  6. Step 6: Final answer
    x = 1,113,394.17

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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.