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Finding the Third Proportional to 427,956 and 662,293.50

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Solution

The third proportional to 427,956 and 662,293.50 is: 1,024,948.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,956 : 662,293.50 = 662,293.50 : x
  2. Step 2: Convert to fraction form
    427,956/662,293.50 = 662,293.50/x
  3. Step 3: Cross multiply
    427,956x = 662,293.50 × 662,293.50
  4. Step 4: Simplify right side
    427,956x = 438,632,680,142.25
  5. Step 5: Solve for x
    x = 438,632,680,142.25/427,956
  6. Step 6: Final answer
    x = 1,024,948.08

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.