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Finding the Third Proportional to 470,169 and 660,654

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Solution

The third proportional to 470,169 and 660,654 is: 928,312.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,169 : 660,654 = 660,654 : x
  2. Step 2: Convert to fraction form
    470,169/660,654 = 660,654/x
  3. Step 3: Cross multiply
    470,169x = 660,654 × 660,654
  4. Step 4: Simplify right side
    470,169x = 436,463,707,716
  5. Step 5: Solve for x
    x = 436,463,707,716/470,169
  6. Step 6: Final answer
    x = 928,312.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.