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Finding the Third Proportional to 370,164 and 557,982

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Solution

The third proportional to 370,164 and 557,982 is: 841,097.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,164 : 557,982 = 557,982 : x
  2. Step 2: Convert to fraction form
    370,164/557,982 = 557,982/x
  3. Step 3: Cross multiply
    370,164x = 557,982 × 557,982
  4. Step 4: Simplify right side
    370,164x = 311,343,912,324
  5. Step 5: Solve for x
    x = 311,343,912,324/370,164
  6. Step 6: Final answer
    x = 841,097.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.