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Finding the Third Proportional to 314,795 and 474,828

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Solution

The third proportional to 314,795 and 474,828 is: 716,217.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,795 : 474,828 = 474,828 : x
  2. Step 2: Convert to fraction form
    314,795/474,828 = 474,828/x
  3. Step 3: Cross multiply
    314,795x = 474,828 × 474,828
  4. Step 4: Simplify right side
    314,795x = 225,461,629,584
  5. Step 5: Solve for x
    x = 225,461,629,584/314,795
  6. Step 6: Final answer
    x = 716,217.31

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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.