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Finding the Third Proportional to 345,652 and 757,748

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Solution

The third proportional to 345,652 and 757,748 is: 1,661,156.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    345,652 : 757,748 = 757,748 : x
  2. Step 2: Convert to fraction form
    345,652/757,748 = 757,748/x
  3. Step 3: Cross multiply
    345,652x = 757,748 × 757,748
  4. Step 4: Simplify right side
    345,652x = 574,182,031,504
  5. Step 5: Solve for x
    x = 574,182,031,504/345,652
  6. Step 6: Final answer
    x = 1,661,156.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.