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Finding the Third Proportional to 282,904 and 610,088

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Solution

The third proportional to 282,904 and 610,088 is: 1,315,666.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,904 : 610,088 = 610,088 : x
  2. Step 2: Convert to fraction form
    282,904/610,088 = 610,088/x
  3. Step 3: Cross multiply
    282,904x = 610,088 × 610,088
  4. Step 4: Simplify right side
    282,904x = 372,207,367,744
  5. Step 5: Solve for x
    x = 372,207,367,744/282,904
  6. Step 6: Final answer
    x = 1,315,666.68

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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.