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Finding the Third Proportional to 340,186.50 and 745,011

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Solution

The third proportional to 340,186.50 and 745,011 is: 1,631,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,186.50 : 745,011 = 745,011 : x
  2. Step 2: Convert to fraction form
    340,186.50/745,011 = 745,011/x
  3. Step 3: Cross multiply
    340,186.50x = 745,011 × 745,011
  4. Step 4: Simplify right side
    340,186.50x = 555,041,390,121
  5. Step 5: Solve for x
    x = 555,041,390,121/340,186.50
  6. Step 6: Final answer
    x = 1,631,579.71

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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.