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Finding the Third Proportional to 335,680 and 730,386

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Solution

The third proportional to 335,680 and 730,386 is: 1,589,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,680 : 730,386 = 730,386 : x
  2. Step 2: Convert to fraction form
    335,680/730,386 = 730,386/x
  3. Step 3: Cross multiply
    335,680x = 730,386 × 730,386
  4. Step 4: Simplify right side
    335,680x = 533,463,708,996
  5. Step 5: Solve for x
    x = 533,463,708,996/335,680
  6. Step 6: Final answer
    x = 1,589,203.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.