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Finding the Third Proportional to 264,321 and 425,597

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Solution

The third proportional to 264,321 and 425,597 is: 685,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,321 : 425,597 = 425,597 : x
  2. Step 2: Convert to fraction form
    264,321/425,597 = 425,597/x
  3. Step 3: Cross multiply
    264,321x = 425,597 × 425,597
  4. Step 4: Simplify right side
    264,321x = 181,132,806,409
  5. Step 5: Solve for x
    x = 181,132,806,409/264,321
  6. Step 6: Final answer
    x = 685,275.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.