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Finding the Third Proportional to 497,398 and 750,824

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Solution

The third proportional to 497,398 and 750,824 is: 1,133,371.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,398 : 750,824 = 750,824 : x
  2. Step 2: Convert to fraction form
    497,398/750,824 = 750,824/x
  3. Step 3: Cross multiply
    497,398x = 750,824 × 750,824
  4. Step 4: Simplify right side
    497,398x = 563,736,678,976
  5. Step 5: Solve for x
    x = 563,736,678,976/497,398
  6. Step 6: Final answer
    x = 1,133,371.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.