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Finding the Third Proportional to 304,311.23 and 473,078.64

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Solution

The third proportional to 304,311.23 and 473,078.64 is: 735,442.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,311.23 : 473,078.64 = 473,078.64 : x
  2. Step 2: Convert to fraction form
    304,311.23/473,078.64 = 473,078.64/x
  3. Step 3: Cross multiply
    304,311.23x = 473,078.64 × 473,078.64
  4. Step 4: Simplify right side
    304,311.23x = 223,803,400,677.58
  5. Step 5: Solve for x
    x = 223,803,400,677.58/304,311.23
  6. Step 6: Final answer
    x = 735,442.47

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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.