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Finding the Third Proportional to 264,319 and 425,594

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Solution

The third proportional to 264,319 and 425,594 is: 685,271.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,319 : 425,594 = 425,594 : x
  2. Step 2: Convert to fraction form
    264,319/425,594 = 425,594/x
  3. Step 3: Cross multiply
    264,319x = 425,594 × 425,594
  4. Step 4: Simplify right side
    264,319x = 181,130,252,836
  5. Step 5: Solve for x
    x = 181,130,252,836/264,319
  6. Step 6: Final answer
    x = 685,271.41

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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.