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Finding the Third Proportional to 384,409.13 and 586,095.75

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Solution

The third proportional to 384,409.13 and 586,095.75 is: 893,600.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,409.13 : 586,095.75 = 586,095.75 : x
  2. Step 2: Convert to fraction form
    384,409.13/586,095.75 = 586,095.75/x
  3. Step 3: Cross multiply
    384,409.13x = 586,095.75 × 586,095.75
  4. Step 4: Simplify right side
    384,409.13x = 343,508,228,168.06
  5. Step 5: Solve for x
    x = 343,508,228,168.06/384,409.13
  6. Step 6: Final answer
    x = 893,600.61

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.