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Finding the Third Proportional to 344,076 and 723,036

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Solution

The third proportional to 344,076 and 723,036 is: 1,519,376.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,076 : 723,036 = 723,036 : x
  2. Step 2: Convert to fraction form
    344,076/723,036 = 723,036/x
  3. Step 3: Cross multiply
    344,076x = 723,036 × 723,036
  4. Step 4: Simplify right side
    344,076x = 522,781,057,296
  5. Step 5: Solve for x
    x = 522,781,057,296/344,076
  6. Step 6: Final answer
    x = 1,519,376.70

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.