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Finding the Third Proportional to 370,101 and 807,129

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Solution

The third proportional to 370,101 and 807,129 is: 1,760,214.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,101 : 807,129 = 807,129 : x
  2. Step 2: Convert to fraction form
    370,101/807,129 = 807,129/x
  3. Step 3: Cross multiply
    370,101x = 807,129 × 807,129
  4. Step 4: Simplify right side
    370,101x = 651,457,222,641
  5. Step 5: Solve for x
    x = 651,457,222,641/370,101
  6. Step 6: Final answer
    x = 1,760,214.71

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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.