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Finding the Third Proportional to 448,175 and 980,263

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Solution

The third proportional to 448,175 and 980,263 is: 2,144,063.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,175 : 980,263 = 980,263 : x
  2. Step 2: Convert to fraction form
    448,175/980,263 = 980,263/x
  3. Step 3: Cross multiply
    448,175x = 980,263 × 980,263
  4. Step 4: Simplify right side
    448,175x = 960,915,549,169
  5. Step 5: Solve for x
    x = 960,915,549,169/448,175
  6. Step 6: Final answer
    x = 2,144,063.25

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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.