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Finding the Third Proportional to 335,769 and 730,572

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Solution

The third proportional to 335,769 and 730,572 is: 1,589,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,769 : 730,572 = 730,572 : x
  2. Step 2: Convert to fraction form
    335,769/730,572 = 730,572/x
  3. Step 3: Cross multiply
    335,769x = 730,572 × 730,572
  4. Step 4: Simplify right side
    335,769x = 533,735,447,184
  5. Step 5: Solve for x
    x = 533,735,447,184/335,769
  6. Step 6: Final answer
    x = 1,589,591.20

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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.