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Finding the Third Proportional to 475,176.50 and 1,034,004.25

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Solution

The third proportional to 475,176.50 and 1,034,004.25 is: 2,250,037.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,176.50 : 1,034,004.25 = 1,034,004.25 : x
  2. Step 2: Convert to fraction form
    475,176.50/1,034,004.25 = 1,034,004.25/x
  3. Step 3: Cross multiply
    475,176.50x = 1,034,004.25 × 1,034,004.25
  4. Step 4: Simplify right side
    475,176.50x = 1,069,164,789,018.06
  5. Step 5: Solve for x
    x = 1,069,164,789,018.06/475,176.50
  6. Step 6: Final answer
    x = 2,250,037.17

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.