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Finding the Third Proportional to 304,181.58 and 704,159.58

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Solution

The third proportional to 304,181.58 and 704,159.58 is: 1,630,081.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,181.58 : 704,159.58 = 704,159.58 : x
  2. Step 2: Convert to fraction form
    304,181.58/704,159.58 = 704,159.58/x
  3. Step 3: Cross multiply
    304,181.58x = 704,159.58 × 704,159.58
  4. Step 4: Simplify right side
    304,181.58x = 495,840,711,465.18
  5. Step 5: Solve for x
    x = 495,840,711,465.18/304,181.58
  6. Step 6: Final answer
    x = 1,630,081.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.