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Finding the Third Proportional to 405,738 and 630,708

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Solution

The third proportional to 405,738 and 630,708 is: 980,417.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,738 : 630,708 = 630,708 : x
  2. Step 2: Convert to fraction form
    405,738/630,708 = 630,708/x
  3. Step 3: Cross multiply
    405,738x = 630,708 × 630,708
  4. Step 4: Simplify right side
    405,738x = 397,792,581,264
  5. Step 5: Solve for x
    x = 397,792,581,264/405,738
  6. Step 6: Final answer
    x = 980,417.37

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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.