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Finding the Third Proportional to 306,830,657.25 and 671,055,849

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Solution

The third proportional to 306,830,657.25 and 671,055,849 is: 1,467,636,762.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,830,657.25 : 671,055,849 = 671,055,849 : x
  2. Step 2: Convert to fraction form
    306,830,657.25/671,055,849 = 671,055,849/x
  3. Step 3: Cross multiply
    306,830,657.25x = 671,055,849 × 671,055,849
  4. Step 4: Simplify right side
    306,830,657.25x = 450,315,952,477,110,784
  5. Step 5: Solve for x
    x = 450,315,952,477,110,784/306,830,657.25
  6. Step 6: Final answer
    x = 1,467,636,762.61

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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.