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Finding the Third Proportional to 575,936 and 852,566

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Solution

The third proportional to 575,936 and 852,566 is: 1,262,065.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,936 : 852,566 = 852,566 : x
  2. Step 2: Convert to fraction form
    575,936/852,566 = 852,566/x
  3. Step 3: Cross multiply
    575,936x = 852,566 × 852,566
  4. Step 4: Simplify right side
    575,936x = 726,868,784,356
  5. Step 5: Solve for x
    x = 726,868,784,356/575,936
  6. Step 6: Final answer
    x = 1,262,065.20

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.