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Finding the Third Proportional to 345,710 and 750,460

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Solution

The third proportional to 345,710 and 750,460 is: 1,629,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,710 : 750,460 = 750,460 : x
  2. Step 2: Convert to fraction form
    345,710/750,460 = 750,460/x
  3. Step 3: Cross multiply
    345,710x = 750,460 × 750,460
  4. Step 4: Simplify right side
    345,710x = 563,190,211,600
  5. Step 5: Solve for x
    x = 563,190,211,600/345,710
  6. Step 6: Final answer
    x = 1,629,082.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.