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Finding the Third Proportional to 574,468 and 877,252

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Solution

The third proportional to 574,468 and 877,252 is: 1,339,623.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    574,468 : 877,252 = 877,252 : x
  2. Step 2: Convert to fraction form
    574,468/877,252 = 877,252/x
  3. Step 3: Cross multiply
    574,468x = 877,252 × 877,252
  4. Step 4: Simplify right side
    574,468x = 769,571,071,504
  5. Step 5: Solve for x
    x = 769,571,071,504/574,468
  6. Step 6: Final answer
    x = 1,339,623.92

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.