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Finding the Third Proportional to 296,462 and 648,283

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Solution

The third proportional to 296,462 and 648,283 is: 1,417,621.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,462 : 648,283 = 648,283 : x
  2. Step 2: Convert to fraction form
    296,462/648,283 = 648,283/x
  3. Step 3: Cross multiply
    296,462x = 648,283 × 648,283
  4. Step 4: Simplify right side
    296,462x = 420,270,848,089
  5. Step 5: Solve for x
    x = 420,270,848,089/296,462
  6. Step 6: Final answer
    x = 1,417,621.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.