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Finding the Third Proportional to 673,327.50 and 1,477,470

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Solution

The third proportional to 673,327.50 and 1,477,470 is: 3,241,984.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,327.50 : 1,477,470 = 1,477,470 : x
  2. Step 2: Convert to fraction form
    673,327.50/1,477,470 = 1,477,470/x
  3. Step 3: Cross multiply
    673,327.50x = 1,477,470 × 1,477,470
  4. Step 4: Simplify right side
    673,327.50x = 2,182,917,600,900
  5. Step 5: Solve for x
    x = 2,182,917,600,900/673,327.50
  6. Step 6: Final answer
    x = 3,241,984.92

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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.