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Finding the Third Proportional to 207,770 and 448,346

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Solution

The third proportional to 207,770 and 448,346 is: 967,483.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,770 : 448,346 = 448,346 : x
  2. Step 2: Convert to fraction form
    207,770/448,346 = 448,346/x
  3. Step 3: Cross multiply
    207,770x = 448,346 × 448,346
  4. Step 4: Simplify right side
    207,770x = 201,014,135,716
  5. Step 5: Solve for x
    x = 201,014,135,716/207,770
  6. Step 6: Final answer
    x = 967,483.93

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.