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Finding the Third Proportional to 403,501.50 and 848,829.38

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Solution

The third proportional to 403,501.50 and 848,829.38 is: 1,785,647.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,501.50 : 848,829.38 = 848,829.38 : x
  2. Step 2: Convert to fraction form
    403,501.50/848,829.38 = 848,829.38/x
  3. Step 3: Cross multiply
    403,501.50x = 848,829.38 × 848,829.38
  4. Step 4: Simplify right side
    403,501.50x = 720,511,307,862.89
  5. Step 5: Solve for x
    x = 720,511,307,862.89/403,501.50
  6. Step 6: Final answer
    x = 1,785,647.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.