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Finding the Third Proportional to 533,292 and 750,042

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Solution

The third proportional to 533,292 and 750,042 is: 1,054,887.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,292 : 750,042 = 750,042 : x
  2. Step 2: Convert to fraction form
    533,292/750,042 = 750,042/x
  3. Step 3: Cross multiply
    533,292x = 750,042 × 750,042
  4. Step 4: Simplify right side
    533,292x = 562,563,001,764
  5. Step 5: Solve for x
    x = 562,563,001,764/533,292
  6. Step 6: Final answer
    x = 1,054,887.38

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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.