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Finding the Third Proportional to 539,461 and 805,497

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Solution

The third proportional to 539,461 and 805,497 is: 1,202,729.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,461 : 805,497 = 805,497 : x
  2. Step 2: Convert to fraction form
    539,461/805,497 = 805,497/x
  3. Step 3: Cross multiply
    539,461x = 805,497 × 805,497
  4. Step 4: Simplify right side
    539,461x = 648,825,417,009
  5. Step 5: Solve for x
    x = 648,825,417,009/539,461
  6. Step 6: Final answer
    x = 1,202,729.05

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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.