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Finding the Third Proportional to 453,820.50 and 601,998.75

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Solution

The third proportional to 453,820.50 and 601,998.75 is: 798,559.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,820.50 : 601,998.75 = 601,998.75 : x
  2. Step 2: Convert to fraction form
    453,820.50/601,998.75 = 601,998.75/x
  3. Step 3: Cross multiply
    453,820.50x = 601,998.75 × 601,998.75
  4. Step 4: Simplify right side
    453,820.50x = 362,402,495,001.56
  5. Step 5: Solve for x
    x = 362,402,495,001.56/453,820.50
  6. Step 6: Final answer
    x = 798,559.11

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.