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Finding the Third Proportional to 314,683.50 and 483,970.50

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Solution

The third proportional to 314,683.50 and 483,970.50 is: 744,327.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,683.50 : 483,970.50 = 483,970.50 : x
  2. Step 2: Convert to fraction form
    314,683.50/483,970.50 = 483,970.50/x
  3. Step 3: Cross multiply
    314,683.50x = 483,970.50 × 483,970.50
  4. Step 4: Simplify right side
    314,683.50x = 234,227,444,870.25
  5. Step 5: Solve for x
    x = 234,227,444,870.25/314,683.50
  6. Step 6: Final answer
    x = 744,327.06

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.