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Finding the Third Proportional to 295,646 and 648,522

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Solution

The third proportional to 295,646 and 648,522 is: 1,422,582.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,646 : 648,522 = 648,522 : x
  2. Step 2: Convert to fraction form
    295,646/648,522 = 648,522/x
  3. Step 3: Cross multiply
    295,646x = 648,522 × 648,522
  4. Step 4: Simplify right side
    295,646x = 420,580,784,484
  5. Step 5: Solve for x
    x = 420,580,784,484/295,646
  6. Step 6: Final answer
    x = 1,422,582.36

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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.