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Finding the Third Proportional to 359,926.50 and 833,252.25

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Solution

The third proportional to 359,926.50 and 833,252.25 is: 1,929,030.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,926.50 : 833,252.25 = 833,252.25 : x
  2. Step 2: Convert to fraction form
    359,926.50/833,252.25 = 833,252.25/x
  3. Step 3: Cross multiply
    359,926.50x = 833,252.25 × 833,252.25
  4. Step 4: Simplify right side
    359,926.50x = 694,309,312,130.06
  5. Step 5: Solve for x
    x = 694,309,312,130.06/359,926.50
  6. Step 6: Final answer
    x = 1,929,030.82

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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.