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Finding the Third Proportional to 466,684 and 723,998

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Solution

The third proportional to 466,684 and 723,998 is: 1,123,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,684 : 723,998 = 723,998 : x
  2. Step 2: Convert to fraction form
    466,684/723,998 = 723,998/x
  3. Step 3: Cross multiply
    466,684x = 723,998 × 723,998
  4. Step 4: Simplify right side
    466,684x = 524,173,104,004
  5. Step 5: Solve for x
    x = 524,173,104,004/466,684
  6. Step 6: Final answer
    x = 1,123,186.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.