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Finding the Third Proportional to 553,830 and 829,824

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Solution

The third proportional to 553,830 and 829,824 is: 1,243,356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,830 : 829,824 = 829,824 : x
  2. Step 2: Convert to fraction form
    553,830/829,824 = 829,824/x
  3. Step 3: Cross multiply
    553,830x = 829,824 × 829,824
  4. Step 4: Simplify right side
    553,830x = 688,607,870,976
  5. Step 5: Solve for x
    x = 688,607,870,976/553,830
  6. Step 6: Final answer
    x = 1,243,356.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.