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Finding the Third Proportional to 405,548 and 882,448

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Solution

The third proportional to 405,548 and 882,448 is: 1,920,153.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,548 : 882,448 = 882,448 : x
  2. Step 2: Convert to fraction form
    405,548/882,448 = 882,448/x
  3. Step 3: Cross multiply
    405,548x = 882,448 × 882,448
  4. Step 4: Simplify right side
    405,548x = 778,714,472,704
  5. Step 5: Solve for x
    x = 778,714,472,704/405,548
  6. Step 6: Final answer
    x = 1,920,153.65

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.