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Finding the Third Proportional to 370,094 and 807,118

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Solution

The third proportional to 370,094 and 807,118 is: 1,760,200.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,094 : 807,118 = 807,118 : x
  2. Step 2: Convert to fraction form
    370,094/807,118 = 807,118/x
  3. Step 3: Cross multiply
    370,094x = 807,118 × 807,118
  4. Step 4: Simplify right side
    370,094x = 651,439,465,924
  5. Step 5: Solve for x
    x = 651,439,465,924/370,094
  6. Step 6: Final answer
    x = 1,760,200.02

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.