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Finding the Third Proportional to 359,235 and 782,437.50

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Solution

The third proportional to 359,235 and 782,437.50 is: 1,704,200.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,235 : 782,437.50 = 782,437.50 : x
  2. Step 2: Convert to fraction form
    359,235/782,437.50 = 782,437.50/x
  3. Step 3: Cross multiply
    359,235x = 782,437.50 × 782,437.50
  4. Step 4: Simplify right side
    359,235x = 612,208,441,406.25
  5. Step 5: Solve for x
    x = 612,208,441,406.25/359,235
  6. Step 6: Final answer
    x = 1,704,200.43

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.