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Finding the Third Proportional to 375,537.50 and 835,038

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Solution

The third proportional to 375,537.50 and 835,038 is: 1,856,774.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,537.50 : 835,038 = 835,038 : x
  2. Step 2: Convert to fraction form
    375,537.50/835,038 = 835,038/x
  3. Step 3: Cross multiply
    375,537.50x = 835,038 × 835,038
  4. Step 4: Simplify right side
    375,537.50x = 697,288,461,444
  5. Step 5: Solve for x
    x = 697,288,461,444/375,537.50
  6. Step 6: Final answer
    x = 1,856,774.52

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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.