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Finding the Third Proportional to 297,483 and 610,804

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Solution

The third proportional to 297,483 and 610,804 is: 1,254,127.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,483 : 610,804 = 610,804 : x
  2. Step 2: Convert to fraction form
    297,483/610,804 = 610,804/x
  3. Step 3: Cross multiply
    297,483x = 610,804 × 610,804
  4. Step 4: Simplify right side
    297,483x = 373,081,526,416
  5. Step 5: Solve for x
    x = 373,081,526,416/297,483
  6. Step 6: Final answer
    x = 1,254,127.22

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.