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Finding the Third Proportional to 314,576 and 472,752

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Solution

The third proportional to 314,576 and 472,752 is: 710,462.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,576 : 472,752 = 472,752 : x
  2. Step 2: Convert to fraction form
    314,576/472,752 = 472,752/x
  3. Step 3: Cross multiply
    314,576x = 472,752 × 472,752
  4. Step 4: Simplify right side
    314,576x = 223,494,453,504
  5. Step 5: Solve for x
    x = 223,494,453,504/314,576
  6. Step 6: Final answer
    x = 710,462.51

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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.