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Finding the Third Proportional to 295,662 and 648,582

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Solution

The third proportional to 295,662 and 648,582 is: 1,422,768.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,662 : 648,582 = 648,582 : x
  2. Step 2: Convert to fraction form
    295,662/648,582 = 648,582/x
  3. Step 3: Cross multiply
    295,662x = 648,582 × 648,582
  4. Step 4: Simplify right side
    295,662x = 420,658,610,724
  5. Step 5: Solve for x
    x = 420,658,610,724/295,662
  6. Step 6: Final answer
    x = 1,422,768.60

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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.