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Finding the Third Proportional to 367,946 and 814,584

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Solution

The third proportional to 367,946 and 814,584 is: 1,803,381.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    367,946 : 814,584 = 814,584 : x
  2. Step 2: Convert to fraction form
    367,946/814,584 = 814,584/x
  3. Step 3: Cross multiply
    367,946x = 814,584 × 814,584
  4. Step 4: Simplify right side
    367,946x = 663,547,093,056
  5. Step 5: Solve for x
    x = 663,547,093,056/367,946
  6. Step 6: Final answer
    x = 1,803,381.73

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.