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Finding the Third Proportional to 335,360 and 732,928

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Solution

The third proportional to 335,360 and 732,928 is: 1,601,811.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,360 : 732,928 = 732,928 : x
  2. Step 2: Convert to fraction form
    335,360/732,928 = 732,928/x
  3. Step 3: Cross multiply
    335,360x = 732,928 × 732,928
  4. Step 4: Simplify right side
    335,360x = 537,183,453,184
  5. Step 5: Solve for x
    x = 537,183,453,184/335,360
  6. Step 6: Final answer
    x = 1,601,811.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.