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Finding the Third Proportional to 468,843 and 726,430.50

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Solution

The third proportional to 468,843 and 726,430.50 is: 1,125,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,843 : 726,430.50 = 726,430.50 : x
  2. Step 2: Convert to fraction form
    468,843/726,430.50 = 726,430.50/x
  3. Step 3: Cross multiply
    468,843x = 726,430.50 × 726,430.50
  4. Step 4: Simplify right side
    468,843x = 527,701,271,330.25
  5. Step 5: Solve for x
    x = 527,701,271,330.25/468,843
  6. Step 6: Final answer
    x = 1,125,539.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.