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Finding the Third Proportional to 277,968 and 609,124.50

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Solution

The third proportional to 277,968 and 609,124.50 is: 1,334,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,968 : 609,124.50 = 609,124.50 : x
  2. Step 2: Convert to fraction form
    277,968/609,124.50 = 609,124.50/x
  3. Step 3: Cross multiply
    277,968x = 609,124.50 × 609,124.50
  4. Step 4: Simplify right side
    277,968x = 371,032,656,500.25
  5. Step 5: Solve for x
    x = 371,032,656,500.25/277,968
  6. Step 6: Final answer
    x = 1,334,803.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.