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Finding the Third Proportional to 295,582 and 442,765

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Solution

The third proportional to 295,582 and 442,765 is: 663,236.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,582 : 442,765 = 442,765 : x
  2. Step 2: Convert to fraction form
    295,582/442,765 = 442,765/x
  3. Step 3: Cross multiply
    295,582x = 442,765 × 442,765
  4. Step 4: Simplify right side
    295,582x = 196,040,845,225
  5. Step 5: Solve for x
    x = 196,040,845,225/295,582
  6. Step 6: Final answer
    x = 663,236.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.