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Finding the Third Proportional to 370,582.50 and 808,933.50

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Solution

The third proportional to 370,582.50 and 808,933.50 is: 1,765,796.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,582.50 : 808,933.50 = 808,933.50 : x
  2. Step 2: Convert to fraction form
    370,582.50/808,933.50 = 808,933.50/x
  3. Step 3: Cross multiply
    370,582.50x = 808,933.50 × 808,933.50
  4. Step 4: Simplify right side
    370,582.50x = 654,373,407,422.25
  5. Step 5: Solve for x
    x = 654,373,407,422.25/370,582.50
  6. Step 6: Final answer
    x = 1,765,796.84

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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.