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Finding the Third Proportional to 304,354 and 473,110

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Solution

The third proportional to 304,354 and 473,110 is: 735,436.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,354 : 473,110 = 473,110 : x
  2. Step 2: Convert to fraction form
    304,354/473,110 = 473,110/x
  3. Step 3: Cross multiply
    304,354x = 473,110 × 473,110
  4. Step 4: Simplify right side
    304,354x = 223,833,072,100
  5. Step 5: Solve for x
    x = 223,833,072,100/304,354
  6. Step 6: Final answer
    x = 735,436.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.