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Finding the Third Proportional to 299,407,164 and 655,256,358

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Solution

The third proportional to 299,407,164 and 655,256,358 is: 1,434,036,811.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,407,164 : 655,256,358 = 655,256,358 : x
  2. Step 2: Convert to fraction form
    299,407,164/655,256,358 = 655,256,358/x
  3. Step 3: Cross multiply
    299,407,164x = 655,256,358 × 655,256,358
  4. Step 4: Simplify right side
    299,407,164x = 429,360,894,699,424,192
  5. Step 5: Solve for x
    x = 429,360,894,699,424,192/299,407,164
  6. Step 6: Final answer
    x = 1,434,036,811.15

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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.