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Finding the Third Proportional to 448,732 and 673,426

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Solution

The third proportional to 448,732 and 673,426 is: 1,010,631.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,732 : 673,426 = 673,426 : x
  2. Step 2: Convert to fraction form
    448,732/673,426 = 673,426/x
  3. Step 3: Cross multiply
    448,732x = 673,426 × 673,426
  4. Step 4: Simplify right side
    448,732x = 453,502,577,476
  5. Step 5: Solve for x
    x = 453,502,577,476/448,732
  6. Step 6: Final answer
    x = 1,010,631.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.