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Finding the Third Proportional to 434,596.50 and 671,559.75

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Solution

The third proportional to 434,596.50 and 671,559.75 is: 1,037,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,596.50 : 671,559.75 = 671,559.75 : x
  2. Step 2: Convert to fraction form
    434,596.50/671,559.75 = 671,559.75/x
  3. Step 3: Cross multiply
    434,596.50x = 671,559.75 × 671,559.75
  4. Step 4: Simplify right side
    434,596.50x = 450,992,497,820.06
  5. Step 5: Solve for x
    x = 450,992,497,820.06/434,596.50
  6. Step 6: Final answer
    x = 1,037,726.94

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.