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Finding the Third Proportional to 328,934 and 708,623

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Solution

The third proportional to 328,934 and 708,623 is: 1,526,587.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,934 : 708,623 = 708,623 : x
  2. Step 2: Convert to fraction form
    328,934/708,623 = 708,623/x
  3. Step 3: Cross multiply
    328,934x = 708,623 × 708,623
  4. Step 4: Simplify right side
    328,934x = 502,146,556,129
  5. Step 5: Solve for x
    x = 502,146,556,129/328,934
  6. Step 6: Final answer
    x = 1,526,587.57

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.