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Finding the Third Proportional to 544,776 and 900,324

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Solution

The third proportional to 544,776 and 900,324 is: 1,487,920.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,776 : 900,324 = 900,324 : x
  2. Step 2: Convert to fraction form
    544,776/900,324 = 900,324/x
  3. Step 3: Cross multiply
    544,776x = 900,324 × 900,324
  4. Step 4: Simplify right side
    544,776x = 810,583,304,976
  5. Step 5: Solve for x
    x = 810,583,304,976/544,776
  6. Step 6: Final answer
    x = 1,487,920.37

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.