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Finding the Third Proportional to 277,446,708 and 604,323,990

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Solution

The third proportional to 277,446,708 and 604,323,990 is: 1,316,315,798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,446,708 : 604,323,990 = 604,323,990 : x
  2. Step 2: Convert to fraction form
    277,446,708/604,323,990 = 604,323,990/x
  3. Step 3: Cross multiply
    277,446,708x = 604,323,990 × 604,323,990
  4. Step 4: Simplify right side
    277,446,708x = 365,207,484,889,520,128
  5. Step 5: Solve for x
    x = 365,207,484,889,520,128/277,446,708
  6. Step 6: Final answer
    x = 1,316,315,798.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.