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Finding the Third Proportional to 264,312 and 425,583

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Solution

The third proportional to 264,312 and 425,583 is: 685,254.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,312 : 425,583 = 425,583 : x
  2. Step 2: Convert to fraction form
    264,312/425,583 = 425,583/x
  3. Step 3: Cross multiply
    264,312x = 425,583 × 425,583
  4. Step 4: Simplify right side
    264,312x = 181,120,889,889
  5. Step 5: Solve for x
    x = 181,120,889,889/264,312
  6. Step 6: Final answer
    x = 685,254.13

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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.