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Finding the Third Proportional to 350,818 and 745,364

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Solution

The third proportional to 350,818 and 745,364 is: 1,583,634.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,818 : 745,364 = 745,364 : x
  2. Step 2: Convert to fraction form
    350,818/745,364 = 745,364/x
  3. Step 3: Cross multiply
    350,818x = 745,364 × 745,364
  4. Step 4: Simplify right side
    350,818x = 555,567,492,496
  5. Step 5: Solve for x
    x = 555,567,492,496/350,818
  6. Step 6: Final answer
    x = 1,583,634.51

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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.