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Finding the Third Proportional to 265,336,494 and 574,134,996

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Solution

The third proportional to 265,336,494 and 574,134,996 is: 1,242,313,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,336,494 : 574,134,996 = 574,134,996 : x
  2. Step 2: Convert to fraction form
    265,336,494/574,134,996 = 574,134,996/x
  3. Step 3: Cross multiply
    265,336,494x = 574,134,996 × 574,134,996
  4. Step 4: Simplify right side
    265,336,494x = 329,630,993,631,920,000
  5. Step 5: Solve for x
    x = 329,630,993,631,920,000/265,336,494
  6. Step 6: Final answer
    x = 1,242,313,066.94

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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.