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Finding the Third Proportional to 739,509.75 and 1,056,776.63

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Solution

The third proportional to 739,509.75 and 1,056,776.63 is: 1,510,158.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    739,509.75 : 1,056,776.63 = 1,056,776.63 : x
  2. Step 2: Convert to fraction form
    739,509.75/1,056,776.63 = 1,056,776.63/x
  3. Step 3: Cross multiply
    739,509.75x = 1,056,776.63 × 1,056,776.63
  4. Step 4: Simplify right side
    739,509.75x = 1,116,776,835,146.39
  5. Step 5: Solve for x
    x = 1,116,776,835,146.39/739,509.75
  6. Step 6: Final answer
    x = 1,510,158.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.