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Finding the Third Proportional to 390,653.50 and 836,603

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Solution

The third proportional to 390,653.50 and 836,603 is: 1,791,625.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,653.50 : 836,603 = 836,603 : x
  2. Step 2: Convert to fraction form
    390,653.50/836,603 = 836,603/x
  3. Step 3: Cross multiply
    390,653.50x = 836,603 × 836,603
  4. Step 4: Simplify right side
    390,653.50x = 699,904,579,609
  5. Step 5: Solve for x
    x = 699,904,579,609/390,653.50
  6. Step 6: Final answer
    x = 1,791,625.01

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.