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Finding the Third Proportional to 335,621 and 710,122

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Solution

The third proportional to 335,621 and 710,122 is: 1,502,508.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,621 : 710,122 = 710,122 : x
  2. Step 2: Convert to fraction form
    335,621/710,122 = 710,122/x
  3. Step 3: Cross multiply
    335,621x = 710,122 × 710,122
  4. Step 4: Simplify right side
    335,621x = 504,273,254,884
  5. Step 5: Solve for x
    x = 504,273,254,884/335,621
  6. Step 6: Final answer
    x = 1,502,508.05

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.