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Finding the Third Proportional to 264,429 and 385,566

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Solution

The third proportional to 264,429 and 385,566 is: 562,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,429 : 385,566 = 385,566 : x
  2. Step 2: Convert to fraction form
    264,429/385,566 = 385,566/x
  3. Step 3: Cross multiply
    264,429x = 385,566 × 385,566
  4. Step 4: Simplify right side
    264,429x = 148,661,140,356
  5. Step 5: Solve for x
    x = 148,661,140,356/264,429
  6. Step 6: Final answer
    x = 562,196.81

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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.