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Finding the Third Proportional to 441,646 and 700,484

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Solution

The third proportional to 441,646 and 700,484 is: 1,111,020.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,646 : 700,484 = 700,484 : x
  2. Step 2: Convert to fraction form
    441,646/700,484 = 700,484/x
  3. Step 3: Cross multiply
    441,646x = 700,484 × 700,484
  4. Step 4: Simplify right side
    441,646x = 490,677,834,256
  5. Step 5: Solve for x
    x = 490,677,834,256/441,646
  6. Step 6: Final answer
    x = 1,111,020.67

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.