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Finding the Third Proportional to 359,872.50 and 833,106

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Solution

The third proportional to 359,872.50 and 833,106 is: 1,928,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,872.50 : 833,106 = 833,106 : x
  2. Step 2: Convert to fraction form
    359,872.50/833,106 = 833,106/x
  3. Step 3: Cross multiply
    359,872.50x = 833,106 × 833,106
  4. Step 4: Simplify right side
    359,872.50x = 694,065,607,236
  5. Step 5: Solve for x
    x = 694,065,607,236/359,872.50
  6. Step 6: Final answer
    x = 1,928,643.08

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