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Finding the Third Proportional to 340,189.50 and 745,017

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Solution

The third proportional to 340,189.50 and 745,017 is: 1,631,591.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,189.50 : 745,017 = 745,017 : x
  2. Step 2: Convert to fraction form
    340,189.50/745,017 = 745,017/x
  3. Step 3: Cross multiply
    340,189.50x = 745,017 × 745,017
  4. Step 4: Simplify right side
    340,189.50x = 555,050,330,289
  5. Step 5: Solve for x
    x = 555,050,330,289/340,189.50
  6. Step 6: Final answer
    x = 1,631,591.60

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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.