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Finding the Third Proportional to 458,958 and 708,930

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Solution

The third proportional to 458,958 and 708,930 is: 1,095,049.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,958 : 708,930 = 708,930 : x
  2. Step 2: Convert to fraction form
    458,958/708,930 = 708,930/x
  3. Step 3: Cross multiply
    458,958x = 708,930 × 708,930
  4. Step 4: Simplify right side
    458,958x = 502,581,744,900
  5. Step 5: Solve for x
    x = 502,581,744,900/458,958
  6. Step 6: Final answer
    x = 1,095,049.54

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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.