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Finding the Third Proportional to 304,199,400 and 656,891,232

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Solution

The third proportional to 304,199,400 and 656,891,232 is: 1,418,497,507.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,199,400 : 656,891,232 = 656,891,232 : x
  2. Step 2: Convert to fraction form
    304,199,400/656,891,232 = 656,891,232/x
  3. Step 3: Cross multiply
    304,199,400x = 656,891,232 × 656,891,232
  4. Step 4: Simplify right side
    304,199,400x = 431,506,090,678,477,824
  5. Step 5: Solve for x
    x = 431,506,090,678,477,824/304,199,400
  6. Step 6: Final answer
    x = 1,418,497,507.49

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.