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Finding the Third Proportional to 505,280.53 and 739,111.08

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Solution

The third proportional to 505,280.53 and 739,111.08 is: 1,081,152.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,280.53 : 739,111.08 = 739,111.08 : x
  2. Step 2: Convert to fraction form
    505,280.53/739,111.08 = 739,111.08/x
  3. Step 3: Cross multiply
    505,280.53x = 739,111.08 × 739,111.08
  4. Step 4: Simplify right side
    505,280.53x = 546,285,185,807.10
  5. Step 5: Solve for x
    x = 546,285,185,807.10/505,280.53
  6. Step 6: Final answer
    x = 1,081,152.26

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.