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Finding the Third Proportional to 312,053.50 and 456,973

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Solution

The third proportional to 312,053.50 and 456,973 is: 669,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,053.50 : 456,973 = 456,973 : x
  2. Step 2: Convert to fraction form
    312,053.50/456,973 = 456,973/x
  3. Step 3: Cross multiply
    312,053.50x = 456,973 × 456,973
  4. Step 4: Simplify right side
    312,053.50x = 208,824,322,729
  5. Step 5: Solve for x
    x = 208,824,322,729/312,053.50
  6. Step 6: Final answer
    x = 669,193.98

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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.