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Finding the Third Proportional to 260,418,750.75 and 556,652,340

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Solution

The third proportional to 260,418,750.75 and 556,652,340 is: 1,189,859,895.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,418,750.75 : 556,652,340 = 556,652,340 : x
  2. Step 2: Convert to fraction form
    260,418,750.75/556,652,340 = 556,652,340/x
  3. Step 3: Cross multiply
    260,418,750.75x = 556,652,340 × 556,652,340
  4. Step 4: Simplify right side
    260,418,750.75x = 309,861,827,627,475,584
  5. Step 5: Solve for x
    x = 309,861,827,627,475,584/260,418,750.75
  6. Step 6: Final answer
    x = 1,189,859,895.78

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.