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Finding the Third Proportional to 301,392 and 470,304

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Solution

The third proportional to 301,392 and 470,304 is: 733,880.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,392 : 470,304 = 470,304 : x
  2. Step 2: Convert to fraction form
    301,392/470,304 = 470,304/x
  3. Step 3: Cross multiply
    301,392x = 470,304 × 470,304
  4. Step 4: Simplify right side
    301,392x = 221,185,852,416
  5. Step 5: Solve for x
    x = 221,185,852,416/301,392
  6. Step 6: Final answer
    x = 733,880.97

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.