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Finding the Third Proportional to 338,664 and 723,984

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Solution

The third proportional to 338,664 and 723,984 is: 1,547,707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,664 : 723,984 = 723,984 : x
  2. Step 2: Convert to fraction form
    338,664/723,984 = 723,984/x
  3. Step 3: Cross multiply
    338,664x = 723,984 × 723,984
  4. Step 4: Simplify right side
    338,664x = 524,152,832,256
  5. Step 5: Solve for x
    x = 524,152,832,256/338,664
  6. Step 6: Final answer
    x = 1,547,707.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.