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Finding the Third Proportional to 244,232 and 514,704

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Solution

The third proportional to 244,232 and 514,704 is: 1,084,707.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,232 : 514,704 = 514,704 : x
  2. Step 2: Convert to fraction form
    244,232/514,704 = 514,704/x
  3. Step 3: Cross multiply
    244,232x = 514,704 × 514,704
  4. Step 4: Simplify right side
    244,232x = 264,920,207,616
  5. Step 5: Solve for x
    x = 264,920,207,616/244,232
  6. Step 6: Final answer
    x = 1,084,707.19

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.