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Finding the Third Proportional to 304,711 and 705,310

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Solution

The third proportional to 304,711 and 705,310 is: 1,632,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,711 : 705,310 = 705,310 : x
  2. Step 2: Convert to fraction form
    304,711/705,310 = 705,310/x
  3. Step 3: Cross multiply
    304,711x = 705,310 × 705,310
  4. Step 4: Simplify right side
    304,711x = 497,462,196,100
  5. Step 5: Solve for x
    x = 497,462,196,100/304,711
  6. Step 6: Final answer
    x = 1,632,570.52

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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.