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Finding the Third Proportional to 448,625.95 and 689,570.58

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Solution

The third proportional to 448,625.95 and 689,570.58 is: 1,059,919.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,625.95 : 689,570.58 = 689,570.58 : x
  2. Step 2: Convert to fraction form
    448,625.95/689,570.58 = 689,570.58/x
  3. Step 3: Cross multiply
    448,625.95x = 689,570.58 × 689,570.58
  4. Step 4: Simplify right side
    448,625.95x = 475,507,582,215.65
  5. Step 5: Solve for x
    x = 475,507,582,215.65/448,625.95
  6. Step 6: Final answer
    x = 1,059,919.92

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.