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Finding the Third Proportional to 375,208.50 and 589,543.50

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Solution

The third proportional to 375,208.50 and 589,543.50 is: 926,315.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,208.50 : 589,543.50 = 589,543.50 : x
  2. Step 2: Convert to fraction form
    375,208.50/589,543.50 = 589,543.50/x
  3. Step 3: Cross multiply
    375,208.50x = 589,543.50 × 589,543.50
  4. Step 4: Simplify right side
    375,208.50x = 347,561,538,392.25
  5. Step 5: Solve for x
    x = 347,561,538,392.25/375,208.50
  6. Step 6: Final answer
    x = 926,315.74

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.