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Finding the Third Proportional to 475,899.75 and 975,010.50

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Solution

The third proportional to 475,899.75 and 975,010.50 is: 1,997,575.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,899.75 : 975,010.50 = 975,010.50 : x
  2. Step 2: Convert to fraction form
    475,899.75/975,010.50 = 975,010.50/x
  3. Step 3: Cross multiply
    475,899.75x = 975,010.50 × 975,010.50
  4. Step 4: Simplify right side
    475,899.75x = 950,645,475,110.25
  5. Step 5: Solve for x
    x = 950,645,475,110.25/475,899.75
  6. Step 6: Final answer
    x = 1,997,575.07

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.