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Finding the Third Proportional to 420,927 and 631,870.50

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Solution

The third proportional to 420,927 and 631,870.50 is: 948,526.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,927 : 631,870.50 = 631,870.50 : x
  2. Step 2: Convert to fraction form
    420,927/631,870.50 = 631,870.50/x
  3. Step 3: Cross multiply
    420,927x = 631,870.50 × 631,870.50
  4. Step 4: Simplify right side
    420,927x = 399,260,328,770.25
  5. Step 5: Solve for x
    x = 399,260,328,770.25/420,927
  6. Step 6: Final answer
    x = 948,526.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.