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Finding the Third Proportional to 533,270 and 750,009

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Solution

The third proportional to 533,270 and 750,009 is: 1,054,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,270 : 750,009 = 750,009 : x
  2. Step 2: Convert to fraction form
    533,270/750,009 = 750,009/x
  3. Step 3: Cross multiply
    533,270x = 750,009 × 750,009
  4. Step 4: Simplify right side
    533,270x = 562,513,500,081
  5. Step 5: Solve for x
    x = 562,513,500,081/533,270
  6. Step 6: Final answer
    x = 1,054,838.07

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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.