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Finding the Third Proportional to 445,636.88 and 658,627.13

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Solution

The third proportional to 445,636.88 and 658,627.13 is: 973,415.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,636.88 : 658,627.13 = 658,627.13 : x
  2. Step 2: Convert to fraction form
    445,636.88/658,627.13 = 658,627.13/x
  3. Step 3: Cross multiply
    445,636.88x = 658,627.13 × 658,627.13
  4. Step 4: Simplify right side
    445,636.88x = 433,789,689,785.77
  5. Step 5: Solve for x
    x = 433,789,689,785.77/445,636.88
  6. Step 6: Final answer
    x = 973,415.16

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.