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Finding the Third Proportional to 315,091 and 484,316.50

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Solution

The third proportional to 315,091 and 484,316.50 is: 744,427.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,091 : 484,316.50 = 484,316.50 : x
  2. Step 2: Convert to fraction form
    315,091/484,316.50 = 484,316.50/x
  3. Step 3: Cross multiply
    315,091x = 484,316.50 × 484,316.50
  4. Step 4: Simplify right side
    315,091x = 234,562,472,172.25
  5. Step 5: Solve for x
    x = 234,562,472,172.25/315,091
  6. Step 6: Final answer
    x = 744,427.71

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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.