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Finding the Third Proportional to 306,418,278 and 655,303,884

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Solution

The third proportional to 306,418,278 and 655,303,884 is: 1,401,428,084.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,418,278 : 655,303,884 = 655,303,884 : x
  2. Step 2: Convert to fraction form
    306,418,278/655,303,884 = 655,303,884/x
  3. Step 3: Cross multiply
    306,418,278x = 655,303,884 × 655,303,884
  4. Step 4: Simplify right side
    306,418,278x = 429,423,180,385,485,440
  5. Step 5: Solve for x
    x = 429,423,180,385,485,440/306,418,278
  6. Step 6: Final answer
    x = 1,401,428,084.47

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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.