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Finding the Third Proportional to 344,927,583 and 517,264,717.50

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Solution

The third proportional to 344,927,583 and 517,264,717.50 is: 775,707,137.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,927,583 : 517,264,717.50 = 517,264,717.50 : x
  2. Step 2: Convert to fraction form
    344,927,583/517,264,717.50 = 517,264,717.50/x
  3. Step 3: Cross multiply
    344,927,583x = 517,264,717.50 × 517,264,717.50
  4. Step 4: Simplify right side
    344,927,583x = 267,562,787,970,354,816
  5. Step 5: Solve for x
    x = 267,562,787,970,354,816/344,927,583
  6. Step 6: Final answer
    x = 775,707,137.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.