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Finding the Third Proportional to 350,820 and 745,368

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Solution

The third proportional to 350,820 and 745,368 is: 1,583,642.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,820 : 745,368 = 745,368 : x
  2. Step 2: Convert to fraction form
    350,820/745,368 = 745,368/x
  3. Step 3: Cross multiply
    350,820x = 745,368 × 745,368
  4. Step 4: Simplify right side
    350,820x = 555,573,455,424
  5. Step 5: Solve for x
    x = 555,573,455,424/350,820
  6. Step 6: Final answer
    x = 1,583,642.48

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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.