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Finding the Third Proportional to 299,407,178 and 655,256,386

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Solution

The third proportional to 299,407,178 and 655,256,386 is: 1,434,036,866.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,407,178 : 655,256,386 = 655,256,386 : x
  2. Step 2: Convert to fraction form
    299,407,178/655,256,386 = 655,256,386/x
  3. Step 3: Cross multiply
    299,407,178x = 655,256,386 × 655,256,386
  4. Step 4: Simplify right side
    299,407,178x = 429,360,931,393,780,992
  5. Step 5: Solve for x
    x = 429,360,931,393,780,992/299,407,178
  6. Step 6: Final answer
    x = 1,434,036,866.66

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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.