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Finding the Third Proportional to 607,077 and 877,051.50

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Solution

The third proportional to 607,077 and 877,051.50 is: 1,267,086.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    607,077 : 877,051.50 = 877,051.50 : x
  2. Step 2: Convert to fraction form
    607,077/877,051.50 = 877,051.50/x
  3. Step 3: Cross multiply
    607,077x = 877,051.50 × 877,051.50
  4. Step 4: Simplify right side
    607,077x = 769,219,333,652.25
  5. Step 5: Solve for x
    x = 769,219,333,652.25/607,077
  6. Step 6: Final answer
    x = 1,267,086.93

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.