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Finding the Third Proportional to 312,039 and 456,949.50

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Solution

The third proportional to 312,039 and 456,949.50 is: 669,156.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,039 : 456,949.50 = 456,949.50 : x
  2. Step 2: Convert to fraction form
    312,039/456,949.50 = 456,949.50/x
  3. Step 3: Cross multiply
    312,039x = 456,949.50 × 456,949.50
  4. Step 4: Simplify right side
    312,039x = 208,802,845,550.25
  5. Step 5: Solve for x
    x = 208,802,845,550.25/312,039
  6. Step 6: Final answer
    x = 669,156.25

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.