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Finding the Third Proportional to 405,616.69 and 630,549.38

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Solution

The third proportional to 405,616.69 and 630,549.38 is: 980,217.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,616.69 : 630,549.38 = 630,549.38 : x
  2. Step 2: Convert to fraction form
    405,616.69/630,549.38 = 630,549.38/x
  3. Step 3: Cross multiply
    405,616.69x = 630,549.38 × 630,549.38
  4. Step 4: Simplify right side
    405,616.69x = 397,592,514,312.89
  5. Step 5: Solve for x
    x = 397,592,514,312.89/405,616.69
  6. Step 6: Final answer
    x = 980,217.35

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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.