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Finding the Third Proportional to 285,176 and 612,464

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Solution

The third proportional to 285,176 and 612,464 is: 1,315,370.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,176 : 612,464 = 612,464 : x
  2. Step 2: Convert to fraction form
    285,176/612,464 = 612,464/x
  3. Step 3: Cross multiply
    285,176x = 612,464 × 612,464
  4. Step 4: Simplify right side
    285,176x = 375,112,151,296
  5. Step 5: Solve for x
    x = 375,112,151,296/285,176
  6. Step 6: Final answer
    x = 1,315,370.69

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.