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Finding the Third Proportional to 508,068 and 779,670

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Solution

The third proportional to 508,068 and 779,670 is: 1,196,464.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,068 : 779,670 = 779,670 : x
  2. Step 2: Convert to fraction form
    508,068/779,670 = 779,670/x
  3. Step 3: Cross multiply
    508,068x = 779,670 × 779,670
  4. Step 4: Simplify right side
    508,068x = 607,885,308,900
  5. Step 5: Solve for x
    x = 607,885,308,900/508,068
  6. Step 6: Final answer
    x = 1,196,464.47

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.