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Finding the Third Proportional to 453,829.50 and 602,010

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Solution

The third proportional to 453,829.50 and 602,010 is: 798,573.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,829.50 : 602,010 = 602,010 : x
  2. Step 2: Convert to fraction form
    453,829.50/602,010 = 602,010/x
  3. Step 3: Cross multiply
    453,829.50x = 602,010 × 602,010
  4. Step 4: Simplify right side
    453,829.50x = 362,416,040,100
  5. Step 5: Solve for x
    x = 362,416,040,100/453,829.50
  6. Step 6: Final answer
    x = 798,573.12

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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.