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Finding the Third Proportional to 405,729 and 630,702

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Solution

The third proportional to 405,729 and 630,702 is: 980,420.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,729 : 630,702 = 630,702 : x
  2. Step 2: Convert to fraction form
    405,729/630,702 = 630,702/x
  3. Step 3: Cross multiply
    405,729x = 630,702 × 630,702
  4. Step 4: Simplify right side
    405,729x = 397,785,012,804
  5. Step 5: Solve for x
    x = 397,785,012,804/405,729
  6. Step 6: Final answer
    x = 980,420.46

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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.