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Finding the Third Proportional to 342,088 and 748,544

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Solution

The third proportional to 342,088 and 748,544 is: 1,637,935.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,088 : 748,544 = 748,544 : x
  2. Step 2: Convert to fraction form
    342,088/748,544 = 748,544/x
  3. Step 3: Cross multiply
    342,088x = 748,544 × 748,544
  4. Step 4: Simplify right side
    342,088x = 560,318,119,936
  5. Step 5: Solve for x
    x = 560,318,119,936/342,088
  6. Step 6: Final answer
    x = 1,637,935.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.