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Finding the Third Proportional to 552,030 and 833,291

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Solution

The third proportional to 552,030 and 833,291 is: 1,257,855.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,030 : 833,291 = 833,291 : x
  2. Step 2: Convert to fraction form
    552,030/833,291 = 833,291/x
  3. Step 3: Cross multiply
    552,030x = 833,291 × 833,291
  4. Step 4: Simplify right side
    552,030x = 694,373,890,681
  5. Step 5: Solve for x
    x = 694,373,890,681/552,030
  6. Step 6: Final answer
    x = 1,257,855.35

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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.