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Finding the Third Proportional to 334,380 and 723,298

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Solution

The third proportional to 334,380 and 723,298 is: 1,564,567.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,380 : 723,298 = 723,298 : x
  2. Step 2: Convert to fraction form
    334,380/723,298 = 723,298/x
  3. Step 3: Cross multiply
    334,380x = 723,298 × 723,298
  4. Step 4: Simplify right side
    334,380x = 523,159,996,804
  5. Step 5: Solve for x
    x = 523,159,996,804/334,380
  6. Step 6: Final answer
    x = 1,564,567.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.