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Finding the Third Proportional to 416,569.50 and 630,697.50

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Solution

The third proportional to 416,569.50 and 630,697.50 is: 954,893.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,569.50 : 630,697.50 = 630,697.50 : x
  2. Step 2: Convert to fraction form
    416,569.50/630,697.50 = 630,697.50/x
  3. Step 3: Cross multiply
    416,569.50x = 630,697.50 × 630,697.50
  4. Step 4: Simplify right side
    416,569.50x = 397,779,336,506.25
  5. Step 5: Solve for x
    x = 397,779,336,506.25/416,569.50
  6. Step 6: Final answer
    x = 954,893.09

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.