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Finding the Third Proportional to 594,576 and 1,307,232

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Solution

The third proportional to 594,576 and 1,307,232 is: 2,874,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,576 : 1,307,232 = 1,307,232 : x
  2. Step 2: Convert to fraction form
    594,576/1,307,232 = 1,307,232/x
  3. Step 3: Cross multiply
    594,576x = 1,307,232 × 1,307,232
  4. Step 4: Simplify right side
    594,576x = 1,708,855,501,824
  5. Step 5: Solve for x
    x = 1,708,855,501,824/594,576
  6. Step 6: Final answer
    x = 2,874,074.13

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.