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Finding the Third Proportional to 301,572 and 409,564

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Solution

The third proportional to 301,572 and 409,564 is: 556,227.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,572 : 409,564 = 409,564 : x
  2. Step 2: Convert to fraction form
    301,572/409,564 = 409,564/x
  3. Step 3: Cross multiply
    301,572x = 409,564 × 409,564
  4. Step 4: Simplify right side
    301,572x = 167,742,670,096
  5. Step 5: Solve for x
    x = 167,742,670,096/301,572
  6. Step 6: Final answer
    x = 556,227.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.