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Finding the Third Proportional to 382,045.50 and 559,525.50

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Solution

The third proportional to 382,045.50 and 559,525.50 is: 819,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,045.50 : 559,525.50 = 559,525.50 : x
  2. Step 2: Convert to fraction form
    382,045.50/559,525.50 = 559,525.50/x
  3. Step 3: Cross multiply
    382,045.50x = 559,525.50 × 559,525.50
  4. Step 4: Simplify right side
    382,045.50x = 313,068,785,150.25
  5. Step 5: Solve for x
    x = 313,068,785,150.25/382,045.50
  6. Step 6: Final answer
    x = 819,454.19

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.