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Finding the Third Proportional to 335,316 and 722,904

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Solution

The third proportional to 335,316 and 722,904 is: 1,558,500.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,316 : 722,904 = 722,904 : x
  2. Step 2: Convert to fraction form
    335,316/722,904 = 722,904/x
  3. Step 3: Cross multiply
    335,316x = 722,904 × 722,904
  4. Step 4: Simplify right side
    335,316x = 522,590,193,216
  5. Step 5: Solve for x
    x = 522,590,193,216/335,316
  6. Step 6: Final answer
    x = 1,558,500.62

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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.