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Finding the Third Proportional to 296,262 and 648,783

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Solution

The third proportional to 296,262 and 648,783 is: 1,420,767.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,262 : 648,783 = 648,783 : x
  2. Step 2: Convert to fraction form
    296,262/648,783 = 648,783/x
  3. Step 3: Cross multiply
    296,262x = 648,783 × 648,783
  4. Step 4: Simplify right side
    296,262x = 420,919,381,089
  5. Step 5: Solve for x
    x = 420,919,381,089/296,262
  6. Step 6: Final answer
    x = 1,420,767.36

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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.