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Finding the Third Proportional to 312,214 and 736,776

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Solution

The third proportional to 312,214 and 736,776 is: 1,738,675.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,214 : 736,776 = 736,776 : x
  2. Step 2: Convert to fraction form
    312,214/736,776 = 736,776/x
  3. Step 3: Cross multiply
    312,214x = 736,776 × 736,776
  4. Step 4: Simplify right side
    312,214x = 542,838,874,176
  5. Step 5: Solve for x
    x = 542,838,874,176/312,214
  6. Step 6: Final answer
    x = 1,738,675.63

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.