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Finding the Third Proportional to 533,288 and 750,032

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Solution

The third proportional to 533,288 and 750,032 is: 1,054,867.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,288 : 750,032 = 750,032 : x
  2. Step 2: Convert to fraction form
    533,288/750,032 = 750,032/x
  3. Step 3: Cross multiply
    533,288x = 750,032 × 750,032
  4. Step 4: Simplify right side
    533,288x = 562,548,001,024
  5. Step 5: Solve for x
    x = 562,548,001,024/533,288
  6. Step 6: Final answer
    x = 1,054,867.17

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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.