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Finding the Third Proportional to 496,962 and 774,967.50

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Solution

The third proportional to 496,962 and 774,967.50 is: 1,208,492.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,962 : 774,967.50 = 774,967.50 : x
  2. Step 2: Convert to fraction form
    496,962/774,967.50 = 774,967.50/x
  3. Step 3: Cross multiply
    496,962x = 774,967.50 × 774,967.50
  4. Step 4: Simplify right side
    496,962x = 600,574,626,056.25
  5. Step 5: Solve for x
    x = 600,574,626,056.25/496,962
  6. Step 6: Final answer
    x = 1,208,492.05

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.