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Finding the Third Proportional to 368,361 and 570,024

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Solution

The third proportional to 368,361 and 570,024 is: 882,089.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,361 : 570,024 = 570,024 : x
  2. Step 2: Convert to fraction form
    368,361/570,024 = 570,024/x
  3. Step 3: Cross multiply
    368,361x = 570,024 × 570,024
  4. Step 4: Simplify right side
    368,361x = 324,927,360,576
  5. Step 5: Solve for x
    x = 324,927,360,576/368,361
  6. Step 6: Final answer
    x = 882,089.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.