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Finding the Third Proportional to 360,895.50 and 730,539

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Solution

The third proportional to 360,895.50 and 730,539 is: 1,478,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,895.50 : 730,539 = 730,539 : x
  2. Step 2: Convert to fraction form
    360,895.50/730,539 = 730,539/x
  3. Step 3: Cross multiply
    360,895.50x = 730,539 × 730,539
  4. Step 4: Simplify right side
    360,895.50x = 533,687,230,521
  5. Step 5: Solve for x
    x = 533,687,230,521/360,895.50
  6. Step 6: Final answer
    x = 1,478,786.05

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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.