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Finding the Third Proportional to 334,672,276 and 724,917,416

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Solution

The third proportional to 334,672,276 and 724,917,416 is: 1,570,208,522.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,672,276 : 724,917,416 = 724,917,416 : x
  2. Step 2: Convert to fraction form
    334,672,276/724,917,416 = 724,917,416/x
  3. Step 3: Cross multiply
    334,672,276x = 724,917,416 × 724,917,416
  4. Step 4: Simplify right side
    334,672,276x = 525,505,260,020,117,056
  5. Step 5: Solve for x
    x = 525,505,260,020,117,056/334,672,276
  6. Step 6: Final answer
    x = 1,570,208,522.50

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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.