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Finding the Third Proportional to 424,206 and 914,830.50

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Solution

The third proportional to 424,206 and 914,830.50 is: 1,972,897.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,206 : 914,830.50 = 914,830.50 : x
  2. Step 2: Convert to fraction form
    424,206/914,830.50 = 914,830.50/x
  3. Step 3: Cross multiply
    424,206x = 914,830.50 × 914,830.50
  4. Step 4: Simplify right side
    424,206x = 836,914,843,730.25
  5. Step 5: Solve for x
    x = 836,914,843,730.25/424,206
  6. Step 6: Final answer
    x = 1,972,897.23

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.