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Finding the Third Proportional to 448,110 and 709,899

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Solution

The third proportional to 448,110 and 709,899 is: 1,124,626.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,110 : 709,899 = 709,899 : x
  2. Step 2: Convert to fraction form
    448,110/709,899 = 709,899/x
  3. Step 3: Cross multiply
    448,110x = 709,899 × 709,899
  4. Step 4: Simplify right side
    448,110x = 503,956,590,201
  5. Step 5: Solve for x
    x = 503,956,590,201/448,110
  6. Step 6: Final answer
    x = 1,124,626.97

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.