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Finding the Third Proportional to 344,215 and 745,633

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Solution

The third proportional to 344,215 and 745,633 is: 1,615,178.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,215 : 745,633 = 745,633 : x
  2. Step 2: Convert to fraction form
    344,215/745,633 = 745,633/x
  3. Step 3: Cross multiply
    344,215x = 745,633 × 745,633
  4. Step 4: Simplify right side
    344,215x = 555,968,570,689
  5. Step 5: Solve for x
    x = 555,968,570,689/344,215
  6. Step 6: Final answer
    x = 1,615,178.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.