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Finding the Third Proportional to 342,023 and 748,324

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Solution

The third proportional to 342,023 and 748,324 is: 1,637,284.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,023 : 748,324 = 748,324 : x
  2. Step 2: Convert to fraction form
    342,023/748,324 = 748,324/x
  3. Step 3: Cross multiply
    342,023x = 748,324 × 748,324
  4. Step 4: Simplify right side
    342,023x = 559,988,808,976
  5. Step 5: Solve for x
    x = 559,988,808,976/342,023
  6. Step 6: Final answer
    x = 1,637,284.07

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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.