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Finding the Third Proportional to 714,366 and 972,830

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Solution

The third proportional to 714,366 and 972,830 is: 1,324,808.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,366 : 972,830 = 972,830 : x
  2. Step 2: Convert to fraction form
    714,366/972,830 = 972,830/x
  3. Step 3: Cross multiply
    714,366x = 972,830 × 972,830
  4. Step 4: Simplify right side
    714,366x = 946,398,208,900
  5. Step 5: Solve for x
    x = 946,398,208,900/714,366
  6. Step 6: Final answer
    x = 1,324,808.58

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.