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Finding the Third Proportional to 379,903.50 and 586,303.13

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Solution

The third proportional to 379,903.50 and 586,303.13 is: 904,838.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,903.50 : 586,303.13 = 586,303.13 : x
  2. Step 2: Convert to fraction form
    379,903.50/586,303.13 = 586,303.13/x
  3. Step 3: Cross multiply
    379,903.50x = 586,303.13 × 586,303.13
  4. Step 4: Simplify right side
    379,903.50x = 343,751,354,384.77
  5. Step 5: Solve for x
    x = 343,751,354,384.77/379,903.50
  6. Step 6: Final answer
    x = 904,838.61

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.