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Finding the Third Proportional to 359,487 and 782,392.50

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Solution

The third proportional to 359,487 and 782,392.50 is: 1,702,809.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    359,487 : 782,392.50 = 782,392.50 : x
  2. Step 2: Convert to fraction form
    359,487/782,392.50 = 782,392.50/x
  3. Step 3: Cross multiply
    359,487x = 782,392.50 × 782,392.50
  4. Step 4: Simplify right side
    359,487x = 612,138,024,056.25
  5. Step 5: Solve for x
    x = 612,138,024,056.25/359,487
  6. Step 6: Final answer
    x = 1,702,809.90

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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.