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Finding the Third Proportional to 264,358 and 425,560

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Solution

The third proportional to 264,358 and 425,560 is: 685,060.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,358 : 425,560 = 425,560 : x
  2. Step 2: Convert to fraction form
    264,358/425,560 = 425,560/x
  3. Step 3: Cross multiply
    264,358x = 425,560 × 425,560
  4. Step 4: Simplify right side
    264,358x = 181,101,313,600
  5. Step 5: Solve for x
    x = 181,101,313,600/264,358
  6. Step 6: Final answer
    x = 685,060.84

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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.