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Finding the Third Proportional to 552,614 and 830,971

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Solution

The third proportional to 552,614 and 830,971 is: 1,249,539.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,614 : 830,971 = 830,971 : x
  2. Step 2: Convert to fraction form
    552,614/830,971 = 830,971/x
  3. Step 3: Cross multiply
    552,614x = 830,971 × 830,971
  4. Step 4: Simplify right side
    552,614x = 690,512,802,841
  5. Step 5: Solve for x
    x = 690,512,802,841/552,614
  6. Step 6: Final answer
    x = 1,249,539.10

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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.