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Finding the Third Proportional to 309,324 and 470,466

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Solution

The third proportional to 309,324 and 470,466 is: 715,554.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,324 : 470,466 = 470,466 : x
  2. Step 2: Convert to fraction form
    309,324/470,466 = 470,466/x
  3. Step 3: Cross multiply
    309,324x = 470,466 × 470,466
  4. Step 4: Simplify right side
    309,324x = 221,338,257,156
  5. Step 5: Solve for x
    x = 221,338,257,156/309,324
  6. Step 6: Final answer
    x = 715,554.75

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.