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Finding the Third Proportional to 264,428 and 385,564

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Solution

The third proportional to 264,428 and 385,564 is: 562,193.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,428 : 385,564 = 385,564 : x
  2. Step 2: Convert to fraction form
    264,428/385,564 = 385,564/x
  3. Step 3: Cross multiply
    264,428x = 385,564 × 385,564
  4. Step 4: Simplify right side
    264,428x = 148,659,598,096
  5. Step 5: Solve for x
    x = 148,659,598,096/264,428
  6. Step 6: Final answer
    x = 562,193.10

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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.