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Finding the Third Proportional to 438,390 and 685,266.75

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Solution

The third proportional to 438,390 and 685,266.75 is: 1,071,170.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,390 : 685,266.75 = 685,266.75 : x
  2. Step 2: Convert to fraction form
    438,390/685,266.75 = 685,266.75/x
  3. Step 3: Cross multiply
    438,390x = 685,266.75 × 685,266.75
  4. Step 4: Simplify right side
    438,390x = 469,590,518,655.56
  5. Step 5: Solve for x
    x = 469,590,518,655.56/438,390
  6. Step 6: Final answer
    x = 1,071,170.69

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.