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Finding the Third Proportional to 353,386 and 525,279

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Solution

The third proportional to 353,386 and 525,279 is: 780,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,386 : 525,279 = 525,279 : x
  2. Step 2: Convert to fraction form
    353,386/525,279 = 525,279/x
  3. Step 3: Cross multiply
    353,386x = 525,279 × 525,279
  4. Step 4: Simplify right side
    353,386x = 275,918,027,841
  5. Step 5: Solve for x
    x = 275,918,027,841/353,386
  6. Step 6: Final answer
    x = 780,783.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.