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Finding the Third Proportional to 602,653.50 and 1,337,475

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Solution

The third proportional to 602,653.50 and 1,337,475 is: 2,968,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,653.50 : 1,337,475 = 1,337,475 : x
  2. Step 2: Convert to fraction form
    602,653.50/1,337,475 = 1,337,475/x
  3. Step 3: Cross multiply
    602,653.50x = 1,337,475 × 1,337,475
  4. Step 4: Simplify right side
    602,653.50x = 1,788,839,375,625
  5. Step 5: Solve for x
    x = 1,788,839,375,625/602,653.50
  6. Step 6: Final answer
    x = 2,968,271.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.