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Finding the Third Proportional to 312,029 and 670,737

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Solution

The third proportional to 312,029 and 670,737 is: 1,441,815.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,029 : 670,737 = 670,737 : x
  2. Step 2: Convert to fraction form
    312,029/670,737 = 670,737/x
  3. Step 3: Cross multiply
    312,029x = 670,737 × 670,737
  4. Step 4: Simplify right side
    312,029x = 449,888,123,169
  5. Step 5: Solve for x
    x = 449,888,123,169/312,029
  6. Step 6: Final answer
    x = 1,441,815.10

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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.