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Finding the Third Proportional to 365,539.50 and 760,330.13

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Solution

The third proportional to 365,539.50 and 760,330.13 is: 1,581,503.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,539.50 : 760,330.13 = 760,330.13 : x
  2. Step 2: Convert to fraction form
    365,539.50/760,330.13 = 760,330.13/x
  3. Step 3: Cross multiply
    365,539.50x = 760,330.13 × 760,330.13
  4. Step 4: Simplify right side
    365,539.50x = 578,101,898,982.52
  5. Step 5: Solve for x
    x = 578,101,898,982.52/365,539.50
  6. Step 6: Final answer
    x = 1,581,503.23

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.