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Finding the Third Proportional to 304,184 and 704,164

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Solution

The third proportional to 304,184 and 704,164 is: 1,630,088.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,184 : 704,164 = 704,164 : x
  2. Step 2: Convert to fraction form
    304,184/704,164 = 704,164/x
  3. Step 3: Cross multiply
    304,184x = 704,164 × 704,164
  4. Step 4: Simplify right side
    304,184x = 495,846,938,896
  5. Step 5: Solve for x
    x = 495,846,938,896/304,184
  6. Step 6: Final answer
    x = 1,630,088.82

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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.