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Finding the Third Proportional to 335,681 and 730,389

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Solution

The third proportional to 335,681 and 730,389 is: 1,589,211.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,681 : 730,389 = 730,389 : x
  2. Step 2: Convert to fraction form
    335,681/730,389 = 730,389/x
  3. Step 3: Cross multiply
    335,681x = 730,389 × 730,389
  4. Step 4: Simplify right side
    335,681x = 533,468,091,321
  5. Step 5: Solve for x
    x = 533,468,091,321/335,681
  6. Step 6: Final answer
    x = 1,589,211.46

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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.