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Finding the Third Proportional to 347,014 and 803,260

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Solution

The third proportional to 347,014 and 803,260 is: 1,859,367.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,014 : 803,260 = 803,260 : x
  2. Step 2: Convert to fraction form
    347,014/803,260 = 803,260/x
  3. Step 3: Cross multiply
    347,014x = 803,260 × 803,260
  4. Step 4: Simplify right side
    347,014x = 645,226,627,600
  5. Step 5: Solve for x
    x = 645,226,627,600/347,014
  6. Step 6: Final answer
    x = 1,859,367.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.