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Finding the Third Proportional to 473,212.50 and 1,032,066.75

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Solution

The third proportional to 473,212.50 and 1,032,066.75 is: 2,250,916.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,212.50 : 1,032,066.75 = 1,032,066.75 : x
  2. Step 2: Convert to fraction form
    473,212.50/1,032,066.75 = 1,032,066.75/x
  3. Step 3: Cross multiply
    473,212.50x = 1,032,066.75 × 1,032,066.75
  4. Step 4: Simplify right side
    473,212.50x = 1,065,161,776,455.56
  5. Step 5: Solve for x
    x = 1,065,161,776,455.56/473,212.50
  6. Step 6: Final answer
    x = 2,250,916.40

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Why These Related Problems?

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