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Finding the Third Proportional to 282,240 and 610,484

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Solution

The third proportional to 282,240 and 610,484 is: 1,320,474.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,240 : 610,484 = 610,484 : x
  2. Step 2: Convert to fraction form
    282,240/610,484 = 610,484/x
  3. Step 3: Cross multiply
    282,240x = 610,484 × 610,484
  4. Step 4: Simplify right side
    282,240x = 372,690,714,256
  5. Step 5: Solve for x
    x = 372,690,714,256/282,240
  6. Step 6: Final answer
    x = 1,320,474.47

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Why These Related Problems?

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