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Finding the Third Proportional to 442,785.50 and 917,077

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Solution

The third proportional to 442,785.50 and 917,077 is: 1,899,407.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,785.50 : 917,077 = 917,077 : x
  2. Step 2: Convert to fraction form
    442,785.50/917,077 = 917,077/x
  3. Step 3: Cross multiply
    442,785.50x = 917,077 × 917,077
  4. Step 4: Simplify right side
    442,785.50x = 841,030,223,929
  5. Step 5: Solve for x
    x = 841,030,223,929/442,785.50
  6. Step 6: Final answer
    x = 1,899,407.78

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.