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Finding the Third Proportional to 335,952 and 728,784

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Solution

The third proportional to 335,952 and 728,784 is: 1,580,958.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,952 : 728,784 = 728,784 : x
  2. Step 2: Convert to fraction form
    335,952/728,784 = 728,784/x
  3. Step 3: Cross multiply
    335,952x = 728,784 × 728,784
  4. Step 4: Simplify right side
    335,952x = 531,126,118,656
  5. Step 5: Solve for x
    x = 531,126,118,656/335,952
  6. Step 6: Final answer
    x = 1,580,958.35

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.