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Finding the Third Proportional to 340,273 and 745,669

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Solution

The third proportional to 340,273 and 745,669 is: 1,634,047.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,273 : 745,669 = 745,669 : x
  2. Step 2: Convert to fraction form
    340,273/745,669 = 745,669/x
  3. Step 3: Cross multiply
    340,273x = 745,669 × 745,669
  4. Step 4: Simplify right side
    340,273x = 556,022,257,561
  5. Step 5: Solve for x
    x = 556,022,257,561/340,273
  6. Step 6: Final answer
    x = 1,634,047.54

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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.