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Finding the Third Proportional to 539,976 and 805,590

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Solution

The third proportional to 539,976 and 805,590 is: 1,201,859.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,976 : 805,590 = 805,590 : x
  2. Step 2: Convert to fraction form
    539,976/805,590 = 805,590/x
  3. Step 3: Cross multiply
    539,976x = 805,590 × 805,590
  4. Step 4: Simplify right side
    539,976x = 648,975,248,100
  5. Step 5: Solve for x
    x = 648,975,248,100/539,976
  6. Step 6: Final answer
    x = 1,201,859.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.