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Finding the Third Proportional to 448,979.63 and 673,444.13

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Solution

The third proportional to 448,979.63 and 673,444.13 is: 1,010,128.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,979.63 : 673,444.13 = 673,444.13 : x
  2. Step 2: Convert to fraction form
    448,979.63/673,444.13 = 673,444.13/x
  3. Step 3: Cross multiply
    448,979.63x = 673,444.13 × 673,444.13
  4. Step 4: Simplify right side
    448,979.63x = 453,526,989,497.02
  5. Step 5: Solve for x
    x = 453,526,989,497.02/448,979.63
  6. Step 6: Final answer
    x = 1,010,128.22

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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.