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Finding the Third Proportional to 295,665 and 648,588

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Solution

The third proportional to 295,665 and 648,588 is: 1,422,780.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,665 : 648,588 = 648,588 : x
  2. Step 2: Convert to fraction form
    295,665/648,588 = 648,588/x
  3. Step 3: Cross multiply
    295,665x = 648,588 × 648,588
  4. Step 4: Simplify right side
    295,665x = 420,666,393,744
  5. Step 5: Solve for x
    x = 420,666,393,744/295,665
  6. Step 6: Final answer
    x = 1,422,780.49

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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.