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Finding the Third Proportional to 442,788.75 and 917,086.50

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Solution

The third proportional to 442,788.75 and 917,086.50 is: 1,899,433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,788.75 : 917,086.50 = 917,086.50 : x
  2. Step 2: Convert to fraction form
    442,788.75/917,086.50 = 917,086.50/x
  3. Step 3: Cross multiply
    442,788.75x = 917,086.50 × 917,086.50
  4. Step 4: Simplify right side
    442,788.75x = 841,047,648,482.25
  5. Step 5: Solve for x
    x = 841,047,648,482.25/442,788.75
  6. Step 6: Final answer
    x = 1,899,433.19

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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.