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Finding the Third Proportional to 315,090 and 484,315.50

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Solution

The third proportional to 315,090 and 484,315.50 is: 744,427.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,090 : 484,315.50 = 484,315.50 : x
  2. Step 2: Convert to fraction form
    315,090/484,315.50 = 484,315.50/x
  3. Step 3: Cross multiply
    315,090x = 484,315.50 × 484,315.50
  4. Step 4: Simplify right side
    315,090x = 234,561,503,540.25
  5. Step 5: Solve for x
    x = 234,561,503,540.25/315,090
  6. Step 6: Final answer
    x = 744,427.00

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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.