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Finding the Third Proportional to 370,550 and 758,572

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Solution

The third proportional to 370,550 and 758,572 is: 1,552,911.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,550 : 758,572 = 758,572 : x
  2. Step 2: Convert to fraction form
    370,550/758,572 = 758,572/x
  3. Step 3: Cross multiply
    370,550x = 758,572 × 758,572
  4. Step 4: Simplify right side
    370,550x = 575,431,479,184
  5. Step 5: Solve for x
    x = 575,431,479,184/370,550
  6. Step 6: Final answer
    x = 1,552,911.83

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.