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Finding the Third Proportional to 534,033 and 824,607

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Solution

The third proportional to 534,033 and 824,607 is: 1,273,285.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,033 : 824,607 = 824,607 : x
  2. Step 2: Convert to fraction form
    534,033/824,607 = 824,607/x
  3. Step 3: Cross multiply
    534,033x = 824,607 × 824,607
  4. Step 4: Simplify right side
    534,033x = 679,976,704,449
  5. Step 5: Solve for x
    x = 679,976,704,449/534,033
  6. Step 6: Final answer
    x = 1,273,285.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.