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Finding the Third Proportional to 275,448 and 583,970

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Solution

The third proportional to 275,448 and 583,970 is: 1,238,059.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,448 : 583,970 = 583,970 : x
  2. Step 2: Convert to fraction form
    275,448/583,970 = 583,970/x
  3. Step 3: Cross multiply
    275,448x = 583,970 × 583,970
  4. Step 4: Simplify right side
    275,448x = 341,020,960,900
  5. Step 5: Solve for x
    x = 341,020,960,900/275,448
  6. Step 6: Final answer
    x = 1,238,059.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.