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Finding the Third Proportional to 304,707 and 705,300

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Solution

The third proportional to 304,707 and 705,300 is: 1,632,545.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,707 : 705,300 = 705,300 : x
  2. Step 2: Convert to fraction form
    304,707/705,300 = 705,300/x
  3. Step 3: Cross multiply
    304,707x = 705,300 × 705,300
  4. Step 4: Simplify right side
    304,707x = 497,448,090,000
  5. Step 5: Solve for x
    x = 497,448,090,000/304,707
  6. Step 6: Final answer
    x = 1,632,545.66

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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.