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Finding the Third Proportional to 282,970 and 610,148

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Solution

The third proportional to 282,970 and 610,148 is: 1,315,618.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,970 : 610,148 = 610,148 : x
  2. Step 2: Convert to fraction form
    282,970/610,148 = 610,148/x
  3. Step 3: Cross multiply
    282,970x = 610,148 × 610,148
  4. Step 4: Simplify right side
    282,970x = 372,280,581,904
  5. Step 5: Solve for x
    x = 372,280,581,904/282,970
  6. Step 6: Final answer
    x = 1,315,618.55

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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.