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Finding the Third Proportional to 298,521 and 630,735.75

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Solution

The third proportional to 298,521 and 630,735.75 is: 1,332,661.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,521 : 630,735.75 = 630,735.75 : x
  2. Step 2: Convert to fraction form
    298,521/630,735.75 = 630,735.75/x
  3. Step 3: Cross multiply
    298,521x = 630,735.75 × 630,735.75
  4. Step 4: Simplify right side
    298,521x = 397,827,586,328.06
  5. Step 5: Solve for x
    x = 397,827,586,328.06/298,521
  6. Step 6: Final answer
    x = 1,332,661.98

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.