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Finding the Third Proportional to 304,829 and 474,688

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Solution

The third proportional to 304,829 and 474,688 is: 739,197.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,829 : 474,688 = 474,688 : x
  2. Step 2: Convert to fraction form
    304,829/474,688 = 474,688/x
  3. Step 3: Cross multiply
    304,829x = 474,688 × 474,688
  4. Step 4: Simplify right side
    304,829x = 225,328,697,344
  5. Step 5: Solve for x
    x = 225,328,697,344/304,829
  6. Step 6: Final answer
    x = 739,197.05

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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.