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Finding the Third Proportional to 363,531 and 776,541.25

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Solution

The third proportional to 363,531 and 776,541.25 is: 1,658,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,531 : 776,541.25 = 776,541.25 : x
  2. Step 2: Convert to fraction form
    363,531/776,541.25 = 776,541.25/x
  3. Step 3: Cross multiply
    363,531x = 776,541.25 × 776,541.25
  4. Step 4: Simplify right side
    363,531x = 603,016,312,951.56
  5. Step 5: Solve for x
    x = 603,016,312,951.56/363,531
  6. Step 6: Final answer
    x = 1,658,775.49

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.