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Finding the Third Proportional to 554,526 and 835,731

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Solution

The third proportional to 554,526 and 835,731 is: 1,259,537.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    554,526 : 835,731 = 835,731 : x
  2. Step 2: Convert to fraction form
    554,526/835,731 = 835,731/x
  3. Step 3: Cross multiply
    554,526x = 835,731 × 835,731
  4. Step 4: Simplify right side
    554,526x = 698,446,304,361
  5. Step 5: Solve for x
    x = 698,446,304,361/554,526
  6. Step 6: Final answer
    x = 1,259,537.52

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.