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Finding the Third Proportional to 260,147,670 and 383,034,840

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Solution

The third proportional to 260,147,670 and 383,034,840 is: 563,970,796.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,147,670 : 383,034,840 = 383,034,840 : x
  2. Step 2: Convert to fraction form
    260,147,670/383,034,840 = 383,034,840/x
  3. Step 3: Cross multiply
    260,147,670x = 383,034,840 × 383,034,840
  4. Step 4: Simplify right side
    260,147,670x = 146,715,688,653,825,600
  5. Step 5: Solve for x
    x = 146,715,688,653,825,600/260,147,670
  6. Step 6: Final answer
    x = 563,970,796.49

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.