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Finding the Third Proportional to 384,555.09 and 596,937.09

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Solution

The third proportional to 384,555.09 and 596,937.09 is: 926,613.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,555.09 : 596,937.09 = 596,937.09 : x
  2. Step 2: Convert to fraction form
    384,555.09/596,937.09 = 596,937.09/x
  3. Step 3: Cross multiply
    384,555.09x = 596,937.09 × 596,937.09
  4. Step 4: Simplify right side
    384,555.09x = 356,333,893,894.70
  5. Step 5: Solve for x
    x = 356,333,893,894.70/384,555.09
  6. Step 6: Final answer
    x = 926,613.38

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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.