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Finding the Third Proportional to 690,024 and 950,178

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Solution

The third proportional to 690,024 and 950,178 is: 1,308,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,024 : 950,178 = 950,178 : x
  2. Step 2: Convert to fraction form
    690,024/950,178 = 950,178/x
  3. Step 3: Cross multiply
    690,024x = 950,178 × 950,178
  4. Step 4: Simplify right side
    690,024x = 902,838,231,684
  5. Step 5: Solve for x
    x = 902,838,231,684/690,024
  6. Step 6: Final answer
    x = 1,308,415.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.