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Finding the Third Proportional to 304,365.09 and 473,126.06

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Solution

The third proportional to 304,365.09 and 473,126.06 is: 735,459.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,365.09 : 473,126.06 = 473,126.06 : x
  2. Step 2: Convert to fraction form
    304,365.09/473,126.06 = 473,126.06/x
  3. Step 3: Cross multiply
    304,365.09x = 473,126.06 × 473,126.06
  4. Step 4: Simplify right side
    304,365.09x = 223,848,271,016.75
  5. Step 5: Solve for x
    x = 223,848,271,016.75/304,365.09
  6. Step 6: Final answer
    x = 735,459.73

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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.