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Finding the Third Proportional to 278,264,696 and 604,477,160

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Solution

The third proportional to 278,264,696 and 604,477,160 is: 1,313,111,732.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,264,696 : 604,477,160 = 604,477,160 : x
  2. Step 2: Convert to fraction form
    278,264,696/604,477,160 = 604,477,160/x
  3. Step 3: Cross multiply
    278,264,696x = 604,477,160 × 604,477,160
  4. Step 4: Simplify right side
    278,264,696x = 365,392,636,961,665,600
  5. Step 5: Solve for x
    x = 365,392,636,961,665,600/278,264,696
  6. Step 6: Final answer
    x = 1,313,111,732.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.