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Finding the Third Proportional to 600,730 and 839,859

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Solution

The third proportional to 600,730 and 839,859 is: 1,174,176.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,730 : 839,859 = 839,859 : x
  2. Step 2: Convert to fraction form
    600,730/839,859 = 839,859/x
  3. Step 3: Cross multiply
    600,730x = 839,859 × 839,859
  4. Step 4: Simplify right side
    600,730x = 705,363,139,881
  5. Step 5: Solve for x
    x = 705,363,139,881/600,730
  6. Step 6: Final answer
    x = 1,174,176.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.