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Finding the Third Proportional to 575,925 and 852,552

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Solution

The third proportional to 575,925 and 852,552 is: 1,262,047.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,925 : 852,552 = 852,552 : x
  2. Step 2: Convert to fraction form
    575,925/852,552 = 852,552/x
  3. Step 3: Cross multiply
    575,925x = 852,552 × 852,552
  4. Step 4: Simplify right side
    575,925x = 726,844,912,704
  5. Step 5: Solve for x
    x = 726,844,912,704/575,925
  6. Step 6: Final answer
    x = 1,262,047.86

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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.