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Finding the Third Proportional to 311,943 and 472,316

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Solution

The third proportional to 311,943 and 472,316 is: 715,138.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,943 : 472,316 = 472,316 : x
  2. Step 2: Convert to fraction form
    311,943/472,316 = 472,316/x
  3. Step 3: Cross multiply
    311,943x = 472,316 × 472,316
  4. Step 4: Simplify right side
    311,943x = 223,082,403,856
  5. Step 5: Solve for x
    x = 223,082,403,856/311,943
  6. Step 6: Final answer
    x = 715,138.35

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Why These Related Problems?

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