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Finding the Third Proportional to 350,133 and 768,055.50

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Solution

The third proportional to 350,133 and 768,055.50 is: 1,684,814.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,133 : 768,055.50 = 768,055.50 : x
  2. Step 2: Convert to fraction form
    350,133/768,055.50 = 768,055.50/x
  3. Step 3: Cross multiply
    350,133x = 768,055.50 × 768,055.50
  4. Step 4: Simplify right side
    350,133x = 589,909,251,080.25
  5. Step 5: Solve for x
    x = 589,909,251,080.25/350,133
  6. Step 6: Final answer
    x = 1,684,814.77

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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.