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Finding the Third Proportional to 405,820.75 and 630,835.50

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Solution

The third proportional to 405,820.75 and 630,835.50 is: 980,613.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,820.75 : 630,835.50 = 630,835.50 : x
  2. Step 2: Convert to fraction form
    405,820.75/630,835.50 = 630,835.50/x
  3. Step 3: Cross multiply
    405,820.75x = 630,835.50 × 630,835.50
  4. Step 4: Simplify right side
    405,820.75x = 397,953,428,060.25
  5. Step 5: Solve for x
    x = 397,953,428,060.25/405,820.75
  6. Step 6: Final answer
    x = 980,613.80

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.