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Finding the Third Proportional to 619,397 and 833,596

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Solution

The third proportional to 619,397 and 833,596 is: 1,121,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,397 : 833,596 = 833,596 : x
  2. Step 2: Convert to fraction form
    619,397/833,596 = 833,596/x
  3. Step 3: Cross multiply
    619,397x = 833,596 × 833,596
  4. Step 4: Simplify right side
    619,397x = 694,882,291,216
  5. Step 5: Solve for x
    x = 694,882,291,216/619,397
  6. Step 6: Final answer
    x = 1,121,869.00

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.