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Finding the Third Proportional to 210,357 and 462,783

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Solution

The third proportional to 210,357 and 462,783 is: 1,018,117.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,357 : 462,783 = 462,783 : x
  2. Step 2: Convert to fraction form
    210,357/462,783 = 462,783/x
  3. Step 3: Cross multiply
    210,357x = 462,783 × 462,783
  4. Step 4: Simplify right side
    210,357x = 214,168,105,089
  5. Step 5: Solve for x
    x = 214,168,105,089/210,357
  6. Step 6: Final answer
    x = 1,018,117.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.