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Finding the Third Proportional to 345,926 and 750,898

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Solution

The third proportional to 345,926 and 750,898 is: 1,629,966.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,926 : 750,898 = 750,898 : x
  2. Step 2: Convert to fraction form
    345,926/750,898 = 750,898/x
  3. Step 3: Cross multiply
    345,926x = 750,898 × 750,898
  4. Step 4: Simplify right side
    345,926x = 563,847,806,404
  5. Step 5: Solve for x
    x = 563,847,806,404/345,926
  6. Step 6: Final answer
    x = 1,629,966.54

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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.