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Finding the Third Proportional to 430,864 and 882,624

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Solution

The third proportional to 430,864 and 882,624 is: 1,808,053.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,864 : 882,624 = 882,624 : x
  2. Step 2: Convert to fraction form
    430,864/882,624 = 882,624/x
  3. Step 3: Cross multiply
    430,864x = 882,624 × 882,624
  4. Step 4: Simplify right side
    430,864x = 779,025,125,376
  5. Step 5: Solve for x
    x = 779,025,125,376/430,864
  6. Step 6: Final answer
    x = 1,808,053.41

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.