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Finding the Third Proportional to 442,842 and 917,179.50

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Solution

The third proportional to 442,842 and 917,179.50 is: 1,899,590.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,842 : 917,179.50 = 917,179.50 : x
  2. Step 2: Convert to fraction form
    442,842/917,179.50 = 917,179.50/x
  3. Step 3: Cross multiply
    442,842x = 917,179.50 × 917,179.50
  4. Step 4: Simplify right side
    442,842x = 841,218,235,220.25
  5. Step 5: Solve for x
    x = 841,218,235,220.25/442,842
  6. Step 6: Final answer
    x = 1,899,590.00

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