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Finding the Third Proportional to 473,640 and 749,907

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Solution

The third proportional to 473,640 and 749,907 is: 1,187,316.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,640 : 749,907 = 749,907 : x
  2. Step 2: Convert to fraction form
    473,640/749,907 = 749,907/x
  3. Step 3: Cross multiply
    473,640x = 749,907 × 749,907
  4. Step 4: Simplify right side
    473,640x = 562,360,508,649
  5. Step 5: Solve for x
    x = 562,360,508,649/473,640
  6. Step 6: Final answer
    x = 1,187,316.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.