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Finding the Third Proportional to 470,751.75 and 1,029,530.25

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Solution

The third proportional to 470,751.75 and 1,029,530.25 is: 2,251,574.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,751.75 : 1,029,530.25 = 1,029,530.25 : x
  2. Step 2: Convert to fraction form
    470,751.75/1,029,530.25 = 1,029,530.25/x
  3. Step 3: Cross multiply
    470,751.75x = 1,029,530.25 × 1,029,530.25
  4. Step 4: Simplify right side
    470,751.75x = 1,059,932,535,665.06
  5. Step 5: Solve for x
    x = 1,059,932,535,665.06/470,751.75
  6. Step 6: Final answer
    x = 2,251,574.29

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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.