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Finding the Third Proportional to 552,607 and 830,962

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Solution

The third proportional to 552,607 and 830,962 is: 1,249,527.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,607 : 830,962 = 830,962 : x
  2. Step 2: Convert to fraction form
    552,607/830,962 = 830,962/x
  3. Step 3: Cross multiply
    552,607x = 830,962 × 830,962
  4. Step 4: Simplify right side
    552,607x = 690,497,845,444
  5. Step 5: Solve for x
    x = 690,497,845,444/552,607
  6. Step 6: Final answer
    x = 1,249,527.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.