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Finding the Third Proportional to 295,587 and 442,772

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Solution

The third proportional to 295,587 and 442,772 is: 663,246.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,587 : 442,772 = 442,772 : x
  2. Step 2: Convert to fraction form
    295,587/442,772 = 442,772/x
  3. Step 3: Cross multiply
    295,587x = 442,772 × 442,772
  4. Step 4: Simplify right side
    295,587x = 196,047,043,984
  5. Step 5: Solve for x
    x = 196,047,043,984/295,587
  6. Step 6: Final answer
    x = 663,246.50

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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.