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Finding the Third Proportional to 442,222.50 and 701,368.50

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Solution

The third proportional to 442,222.50 and 701,368.50 is: 1,112,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,222.50 : 701,368.50 = 701,368.50 : x
  2. Step 2: Convert to fraction form
    442,222.50/701,368.50 = 701,368.50/x
  3. Step 3: Cross multiply
    442,222.50x = 701,368.50 × 701,368.50
  4. Step 4: Simplify right side
    442,222.50x = 491,917,772,792.25
  5. Step 5: Solve for x
    x = 491,917,772,792.25/442,222.50
  6. Step 6: Final answer
    x = 1,112,376.17

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.