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Finding the Third Proportional to 442,785 and 917,076.50

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Solution

The third proportional to 442,785 and 917,076.50 is: 1,899,407.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,785 : 917,076.50 = 917,076.50 : x
  2. Step 2: Convert to fraction form
    442,785/917,076.50 = 917,076.50/x
  3. Step 3: Cross multiply
    442,785x = 917,076.50 × 917,076.50
  4. Step 4: Simplify right side
    442,785x = 841,029,306,852.25
  5. Step 5: Solve for x
    x = 841,029,306,852.25/442,785
  6. Step 6: Final answer
    x = 1,899,407.85

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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.