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Finding the Third Proportional to 295,624 and 648,473

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Solution

The third proportional to 295,624 and 648,473 is: 1,422,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,624 : 648,473 = 648,473 : x
  2. Step 2: Convert to fraction form
    295,624/648,473 = 648,473/x
  3. Step 3: Cross multiply
    295,624x = 648,473 × 648,473
  4. Step 4: Simplify right side
    295,624x = 420,517,231,729
  5. Step 5: Solve for x
    x = 420,517,231,729/295,624
  6. Step 6: Final answer
    x = 1,422,473.25

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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.