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Finding the Third Proportional to 442,804.50 and 917,118

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Solution

The third proportional to 442,804.50 and 917,118 is: 1,899,496.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,804.50 : 917,118 = 917,118 : x
  2. Step 2: Convert to fraction form
    442,804.50/917,118 = 917,118/x
  3. Step 3: Cross multiply
    442,804.50x = 917,118 × 917,118
  4. Step 4: Simplify right side
    442,804.50x = 841,105,425,924
  5. Step 5: Solve for x
    x = 841,105,425,924/442,804.50
  6. Step 6: Final answer
    x = 1,899,496.11

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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.