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Finding the Third Proportional to 448,628.81 and 689,574.66

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Solution

The third proportional to 448,628.81 and 689,574.66 is: 1,059,925.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,628.81 : 689,574.66 = 689,574.66 : x
  2. Step 2: Convert to fraction form
    448,628.81/689,574.66 = 689,574.66/x
  3. Step 3: Cross multiply
    448,628.81x = 689,574.66 × 689,574.66
  4. Step 4: Simplify right side
    448,628.81x = 475,513,206,542.31
  5. Step 5: Solve for x
    x = 475,513,206,542.31/448,628.81
  6. Step 6: Final answer
    x = 1,059,925.70

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