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Finding the Third Proportional to 351,588 and 745,080

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Solution

The third proportional to 351,588 and 745,080 is: 1,578,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,588 : 745,080 = 745,080 : x
  2. Step 2: Convert to fraction form
    351,588/745,080 = 745,080/x
  3. Step 3: Cross multiply
    351,588x = 745,080 × 745,080
  4. Step 4: Simplify right side
    351,588x = 555,144,206,400
  5. Step 5: Solve for x
    x = 555,144,206,400/351,588
  6. Step 6: Final answer
    x = 1,578,962.33

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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.