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Finding the Third Proportional to 533,232 and 749,952

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Solution

The third proportional to 533,232 and 749,952 is: 1,054,752.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,232 : 749,952 = 749,952 : x
  2. Step 2: Convert to fraction form
    533,232/749,952 = 749,952/x
  3. Step 3: Cross multiply
    533,232x = 749,952 × 749,952
  4. Step 4: Simplify right side
    533,232x = 562,428,002,304
  5. Step 5: Solve for x
    x = 562,428,002,304/533,232
  6. Step 6: Final answer
    x = 1,054,752.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.