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Finding the Third Proportional to 360,274 and 783,970

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Solution

The third proportional to 360,274 and 783,970 is: 1,705,948.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,274 : 783,970 = 783,970 : x
  2. Step 2: Convert to fraction form
    360,274/783,970 = 783,970/x
  3. Step 3: Cross multiply
    360,274x = 783,970 × 783,970
  4. Step 4: Simplify right side
    360,274x = 614,608,960,900
  5. Step 5: Solve for x
    x = 614,608,960,900/360,274
  6. Step 6: Final answer
    x = 1,705,948.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.