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Finding the Third Proportional to 601,155 and 804,532.50

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Solution

The third proportional to 601,155 and 804,532.50 is: 1,076,714.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,155 : 804,532.50 = 804,532.50 : x
  2. Step 2: Convert to fraction form
    601,155/804,532.50 = 804,532.50/x
  3. Step 3: Cross multiply
    601,155x = 804,532.50 × 804,532.50
  4. Step 4: Simplify right side
    601,155x = 647,272,543,556.25
  5. Step 5: Solve for x
    x = 647,272,543,556.25/601,155
  6. Step 6: Final answer
    x = 1,076,714.90

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.