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Finding the Third Proportional to 332,268 and 708,030

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Solution

The third proportional to 332,268 and 708,030 is: 1,508,741.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    332,268 : 708,030 = 708,030 : x
  2. Step 2: Convert to fraction form
    332,268/708,030 = 708,030/x
  3. Step 3: Cross multiply
    332,268x = 708,030 × 708,030
  4. Step 4: Simplify right side
    332,268x = 501,306,480,900
  5. Step 5: Solve for x
    x = 501,306,480,900/332,268
  6. Step 6: Final answer
    x = 1,508,741.38

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.