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Finding the Third Proportional to 448,956 and 673,413

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Solution

The third proportional to 448,956 and 673,413 is: 1,010,088.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,956 : 673,413 = 673,413 : x
  2. Step 2: Convert to fraction form
    448,956/673,413 = 673,413/x
  3. Step 3: Cross multiply
    448,956x = 673,413 × 673,413
  4. Step 4: Simplify right side
    448,956x = 453,485,068,569
  5. Step 5: Solve for x
    x = 453,485,068,569/448,956
  6. Step 6: Final answer
    x = 1,010,088.00

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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.