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Finding the Third Proportional to 405,615.84 and 630,548.16

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Solution

The third proportional to 405,615.84 and 630,548.16 is: 980,215.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,615.84 : 630,548.16 = 630,548.16 : x
  2. Step 2: Convert to fraction form
    405,615.84/630,548.16 = 630,548.16/x
  3. Step 3: Cross multiply
    405,615.84x = 630,548.16 × 630,548.16
  4. Step 4: Simplify right side
    405,615.84x = 397,590,977,350.27
  5. Step 5: Solve for x
    x = 397,590,977,350.27/405,615.84
  6. Step 6: Final answer
    x = 980,215.60

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Why These Related Problems?

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