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Finding the Third Proportional to 323,907 and 710,013

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Solution

The third proportional to 323,907 and 710,013 is: 1,556,367.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,907 : 710,013 = 710,013 : x
  2. Step 2: Convert to fraction form
    323,907/710,013 = 710,013/x
  3. Step 3: Cross multiply
    323,907x = 710,013 × 710,013
  4. Step 4: Simplify right side
    323,907x = 504,118,460,169
  5. Step 5: Solve for x
    x = 504,118,460,169/323,907
  6. Step 6: Final answer
    x = 1,556,367.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.