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Finding the Third Proportional to 296,906 and 458,697

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Solution

The third proportional to 296,906 and 458,697 is: 708,651.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,906 : 458,697 = 458,697 : x
  2. Step 2: Convert to fraction form
    296,906/458,697 = 458,697/x
  3. Step 3: Cross multiply
    296,906x = 458,697 × 458,697
  4. Step 4: Simplify right side
    296,906x = 210,402,937,809
  5. Step 5: Solve for x
    x = 210,402,937,809/296,906
  6. Step 6: Final answer
    x = 708,651.69

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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.