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Finding the Third Proportional to 473,544.35 and 1,038,768.05

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Solution

The third proportional to 473,544.35 and 1,038,768.05 is: 2,278,644.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,544.35 : 1,038,768.05 = 1,038,768.05 : x
  2. Step 2: Convert to fraction form
    473,544.35/1,038,768.05 = 1,038,768.05/x
  3. Step 3: Cross multiply
    473,544.35x = 1,038,768.05 × 1,038,768.05
  4. Step 4: Simplify right side
    473,544.35x = 1,079,039,055,208.50
  5. Step 5: Solve for x
    x = 1,079,039,055,208.50/473,544.35
  6. Step 6: Final answer
    x = 2,278,644.13

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.