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Finding the Third Proportional to 359,901 and 833,188.50

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Solution

The third proportional to 359,901 and 833,188.50 is: 1,928,872.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,901 : 833,188.50 = 833,188.50 : x
  2. Step 2: Convert to fraction form
    359,901/833,188.50 = 833,188.50/x
  3. Step 3: Cross multiply
    359,901x = 833,188.50 × 833,188.50
  4. Step 4: Simplify right side
    359,901x = 694,203,076,532.25
  5. Step 5: Solve for x
    x = 694,203,076,532.25/359,901
  6. Step 6: Final answer
    x = 1,928,872.32

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.