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Finding the Third Proportional to 301,999.22 and 651,284.72

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Solution

The third proportional to 301,999.22 and 651,284.72 is: 1,404,545.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,999.22 : 651,284.72 = 651,284.72 : x
  2. Step 2: Convert to fraction form
    301,999.22/651,284.72 = 651,284.72/x
  3. Step 3: Cross multiply
    301,999.22x = 651,284.72 × 651,284.72
  4. Step 4: Simplify right side
    301,999.22x = 424,171,784,877.27
  5. Step 5: Solve for x
    x = 424,171,784,877.27/301,999.22
  6. Step 6: Final answer
    x = 1,404,545.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.