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Finding the Third Proportional to 410,700 and 601,863

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Solution

The third proportional to 410,700 and 601,863 is: 882,004.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,700 : 601,863 = 601,863 : x
  2. Step 2: Convert to fraction form
    410,700/601,863 = 601,863/x
  3. Step 3: Cross multiply
    410,700x = 601,863 × 601,863
  4. Step 4: Simplify right side
    410,700x = 362,239,070,769
  5. Step 5: Solve for x
    x = 362,239,070,769/410,700
  6. Step 6: Final answer
    x = 882,004.07

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.