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Finding the Third Proportional to 298,605,984 and 427,007,072

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Solution

The third proportional to 298,605,984 and 427,007,072 is: 610,620,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,605,984 : 427,007,072 = 427,007,072 : x
  2. Step 2: Convert to fraction form
    298,605,984/427,007,072 = 427,007,072/x
  3. Step 3: Cross multiply
    298,605,984x = 427,007,072 × 427,007,072
  4. Step 4: Simplify right side
    298,605,984x = 182,335,039,538,013,184
  5. Step 5: Solve for x
    x = 182,335,039,538,013,184/298,605,984
  6. Step 6: Final answer
    x = 610,620,849.24

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.