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Finding the Third Proportional to 262,560 and 575,952

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Solution

The third proportional to 262,560 and 575,952 is: 1,263,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,560 : 575,952 = 575,952 : x
  2. Step 2: Convert to fraction form
    262,560/575,952 = 575,952/x
  3. Step 3: Cross multiply
    262,560x = 575,952 × 575,952
  4. Step 4: Simplify right side
    262,560x = 331,720,706,304
  5. Step 5: Solve for x
    x = 331,720,706,304/262,560
  6. Step 6: Final answer
    x = 1,263,409.15

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.