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Finding the Third Proportional to 350,041.50 and 767,889

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Solution

The third proportional to 350,041.50 and 767,889 is: 1,684,524.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,041.50 : 767,889 = 767,889 : x
  2. Step 2: Convert to fraction form
    350,041.50/767,889 = 767,889/x
  3. Step 3: Cross multiply
    350,041.50x = 767,889 × 767,889
  4. Step 4: Simplify right side
    350,041.50x = 589,653,516,321
  5. Step 5: Solve for x
    x = 589,653,516,321/350,041.50
  6. Step 6: Final answer
    x = 1,684,524.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.