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Finding the Third Proportional to 299,407,143 and 655,256,313

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Solution

The third proportional to 299,407,143 and 655,256,313 is: 1,434,036,714.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,407,143 : 655,256,313 = 655,256,313 : x
  2. Step 2: Convert to fraction form
    299,407,143/655,256,313 = 655,256,313/x
  3. Step 3: Cross multiply
    299,407,143x = 655,256,313 × 655,256,313
  4. Step 4: Simplify right side
    299,407,143x = 429,360,835,726,353,984
  5. Step 5: Solve for x
    x = 429,360,835,726,353,984/299,407,143
  6. Step 6: Final answer
    x = 1,434,036,714.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.