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Finding the Third Proportional to 334,672,278 and 724,917,420

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Solution

The third proportional to 334,672,278 and 724,917,420 is: 1,570,208,530.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,672,278 : 724,917,420 = 724,917,420 : x
  2. Step 2: Convert to fraction form
    334,672,278/724,917,420 = 724,917,420/x
  3. Step 3: Cross multiply
    334,672,278x = 724,917,420 × 724,917,420
  4. Step 4: Simplify right side
    334,672,278x = 525,505,265,819,456,384
  5. Step 5: Solve for x
    x = 525,505,265,819,456,384/334,672,278
  6. Step 6: Final answer
    x = 1,570,208,530.45

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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.