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Finding the Third Proportional to 597,960 and 926,829

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Solution

The third proportional to 597,960 and 926,829 is: 1,436,571.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,960 : 926,829 = 926,829 : x
  2. Step 2: Convert to fraction form
    597,960/926,829 = 926,829/x
  3. Step 3: Cross multiply
    597,960x = 926,829 × 926,829
  4. Step 4: Simplify right side
    597,960x = 859,011,995,241
  5. Step 5: Solve for x
    x = 859,011,995,241/597,960
  6. Step 6: Final answer
    x = 1,436,571.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.