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Finding the Third Proportional to 405,650 and 882,628

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Solution

The third proportional to 405,650 and 882,628 is: 1,920,454.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,650 : 882,628 = 882,628 : x
  2. Step 2: Convert to fraction form
    405,650/882,628 = 882,628/x
  3. Step 3: Cross multiply
    405,650x = 882,628 × 882,628
  4. Step 4: Simplify right side
    405,650x = 779,032,186,384
  5. Step 5: Solve for x
    x = 779,032,186,384/405,650
  6. Step 6: Final answer
    x = 1,920,454.05

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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.