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Finding the Third Proportional to 466,087 and 719,738

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Solution

The third proportional to 466,087 and 719,738 is: 1,111,429.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,087 : 719,738 = 719,738 : x
  2. Step 2: Convert to fraction form
    466,087/719,738 = 719,738/x
  3. Step 3: Cross multiply
    466,087x = 719,738 × 719,738
  4. Step 4: Simplify right side
    466,087x = 518,022,788,644
  5. Step 5: Solve for x
    x = 518,022,788,644/466,087
  6. Step 6: Final answer
    x = 1,111,429.39

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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.