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Finding the Third Proportional to 335,770 and 709,082

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Solution

The third proportional to 335,770 and 709,082 is: 1,497,445.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    335,770 : 709,082 = 709,082 : x
  2. Step 2: Convert to fraction form
    335,770/709,082 = 709,082/x
  3. Step 3: Cross multiply
    335,770x = 709,082 × 709,082
  4. Step 4: Simplify right side
    335,770x = 502,797,282,724
  5. Step 5: Solve for x
    x = 502,797,282,724/335,770
  6. Step 6: Final answer
    x = 1,497,445.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.