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Finding the Third Proportional to 405,919 and 630,971.50

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Solution

The third proportional to 405,919 and 630,971.50 is: 980,799.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,919 : 630,971.50 = 630,971.50 : x
  2. Step 2: Convert to fraction form
    405,919/630,971.50 = 630,971.50/x
  3. Step 3: Cross multiply
    405,919x = 630,971.50 × 630,971.50
  4. Step 4: Simplify right side
    405,919x = 398,125,033,812.25
  5. Step 5: Solve for x
    x = 398,125,033,812.25/405,919
  6. Step 6: Final answer
    x = 980,799.21

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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.