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Finding the Third Proportional to 296,352 and 444,564

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Solution

The third proportional to 296,352 and 444,564 is: 666,900.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352 : 444,564 = 444,564 : x
  2. Step 2: Convert to fraction form
    296,352/444,564 = 444,564/x
  3. Step 3: Cross multiply
    296,352x = 444,564 × 444,564
  4. Step 4: Simplify right side
    296,352x = 197,637,150,096
  5. Step 5: Solve for x
    x = 197,637,150,096/296,352
  6. Step 6: Final answer
    x = 666,900.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.