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Finding the Third Proportional to 299,240 and 654,792

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Solution

The third proportional to 299,240 and 654,792 is: 1,432,804.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,240 : 654,792 = 654,792 : x
  2. Step 2: Convert to fraction form
    299,240/654,792 = 654,792/x
  3. Step 3: Cross multiply
    299,240x = 654,792 × 654,792
  4. Step 4: Simplify right side
    299,240x = 428,752,563,264
  5. Step 5: Solve for x
    x = 428,752,563,264/299,240
  6. Step 6: Final answer
    x = 1,432,804.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.