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Finding the Third Proportional to 371,944 and 556,476

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Solution

The third proportional to 371,944 and 556,476 is: 832,559.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    371,944 : 556,476 = 556,476 : x
  2. Step 2: Convert to fraction form
    371,944/556,476 = 556,476/x
  3. Step 3: Cross multiply
    371,944x = 556,476 × 556,476
  4. Step 4: Simplify right side
    371,944x = 309,665,538,576
  5. Step 5: Solve for x
    x = 309,665,538,576/371,944
  6. Step 6: Final answer
    x = 832,559.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.