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Finding the Third Proportional to 351,584 and 745,072

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Solution

The third proportional to 351,584 and 745,072 is: 1,578,946.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,584 : 745,072 = 745,072 : x
  2. Step 2: Convert to fraction form
    351,584/745,072 = 745,072/x
  3. Step 3: Cross multiply
    351,584x = 745,072 × 745,072
  4. Step 4: Simplify right side
    351,584x = 555,132,285,184
  5. Step 5: Solve for x
    x = 555,132,285,184/351,584
  6. Step 6: Final answer
    x = 1,578,946.38

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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.