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Finding the Third Proportional to 382,045.50 and 559,531.13

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Solution

The third proportional to 382,045.50 and 559,531.13 is: 819,470.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,045.50 : 559,531.13 = 559,531.13 : x
  2. Step 2: Convert to fraction form
    382,045.50/559,531.13 = 559,531.13/x
  3. Step 3: Cross multiply
    382,045.50x = 559,531.13 × 559,531.13
  4. Step 4: Simplify right side
    382,045.50x = 313,075,079,843.77
  5. Step 5: Solve for x
    x = 313,075,079,843.77/382,045.50
  6. Step 6: Final answer
    x = 819,470.66

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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.