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Finding the Third Proportional to 296,304 and 470,700

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Solution

The third proportional to 296,304 and 470,700 is: 747,740.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,304 : 470,700 = 470,700 : x
  2. Step 2: Convert to fraction form
    296,304/470,700 = 470,700/x
  3. Step 3: Cross multiply
    296,304x = 470,700 × 470,700
  4. Step 4: Simplify right side
    296,304x = 221,558,490,000
  5. Step 5: Solve for x
    x = 221,558,490,000/296,304
  6. Step 6: Final answer
    x = 747,740.46

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.