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Finding the Third Proportional to 335,152 and 722,784

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Solution

The third proportional to 335,152 and 722,784 is: 1,558,745.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,152 : 722,784 = 722,784 : x
  2. Step 2: Convert to fraction form
    335,152/722,784 = 722,784/x
  3. Step 3: Cross multiply
    335,152x = 722,784 × 722,784
  4. Step 4: Simplify right side
    335,152x = 522,416,710,656
  5. Step 5: Solve for x
    x = 522,416,710,656/335,152
  6. Step 6: Final answer
    x = 1,558,745.62

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.