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Finding the Third Proportional to 294,416 and 635,462

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Solution

The third proportional to 294,416 and 635,462 is: 1,371,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,416 : 635,462 = 635,462 : x
  2. Step 2: Convert to fraction form
    294,416/635,462 = 635,462/x
  3. Step 3: Cross multiply
    294,416x = 635,462 × 635,462
  4. Step 4: Simplify right side
    294,416x = 403,811,953,444
  5. Step 5: Solve for x
    x = 403,811,953,444/294,416
  6. Step 6: Final answer
    x = 1,371,569.32

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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.