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Finding the Third Proportional to 427,920 and 662,250.38

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Solution

The third proportional to 427,920 and 662,250.38 is: 1,024,900.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,920 : 662,250.38 = 662,250.38 : x
  2. Step 2: Convert to fraction form
    427,920/662,250.38 = 662,250.38/x
  3. Step 3: Cross multiply
    427,920x = 662,250.38 × 662,250.38
  4. Step 4: Simplify right side
    427,920x = 438,575,559,187.64
  5. Step 5: Solve for x
    x = 438,575,559,187.64/427,920
  6. Step 6: Final answer
    x = 1,024,900.82

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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.