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Finding the Third Proportional to 366,905 and 749,362

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Solution

The third proportional to 366,905 and 749,362 is: 1,530,487.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,905 : 749,362 = 749,362 : x
  2. Step 2: Convert to fraction form
    366,905/749,362 = 749,362/x
  3. Step 3: Cross multiply
    366,905x = 749,362 × 749,362
  4. Step 4: Simplify right side
    366,905x = 561,543,407,044
  5. Step 5: Solve for x
    x = 561,543,407,044/366,905
  6. Step 6: Final answer
    x = 1,530,487.20

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.