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Finding the Third Proportional to 264,430 and 385,567

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Solution

The third proportional to 264,430 and 385,567 is: 562,197.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,430 : 385,567 = 385,567 : x
  2. Step 2: Convert to fraction form
    264,430/385,567 = 385,567/x
  3. Step 3: Cross multiply
    264,430x = 385,567 × 385,567
  4. Step 4: Simplify right side
    264,430x = 148,661,911,489
  5. Step 5: Solve for x
    x = 148,661,911,489/264,430
  6. Step 6: Final answer
    x = 562,197.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.