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Finding the Third Proportional to 342,770 and 741,028

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Solution

The third proportional to 342,770 and 741,028 is: 1,602,014.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,770 : 741,028 = 741,028 : x
  2. Step 2: Convert to fraction form
    342,770/741,028 = 741,028/x
  3. Step 3: Cross multiply
    342,770x = 741,028 × 741,028
  4. Step 4: Simplify right side
    342,770x = 549,122,496,784
  5. Step 5: Solve for x
    x = 549,122,496,784/342,770
  6. Step 6: Final answer
    x = 1,602,014.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.