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Finding the Third Proportional to 360,890 and 730,526

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Solution

The third proportional to 360,890 and 730,526 is: 1,478,755.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,890 : 730,526 = 730,526 : x
  2. Step 2: Convert to fraction form
    360,890/730,526 = 730,526/x
  3. Step 3: Cross multiply
    360,890x = 730,526 × 730,526
  4. Step 4: Simplify right side
    360,890x = 533,668,236,676
  5. Step 5: Solve for x
    x = 533,668,236,676/360,890
  6. Step 6: Final answer
    x = 1,478,755.96

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.