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Finding the Third Proportional to 295,598 and 432,909

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Solution

The third proportional to 295,598 and 432,909 is: 634,003.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,598 : 432,909 = 432,909 : x
  2. Step 2: Convert to fraction form
    295,598/432,909 = 432,909/x
  3. Step 3: Cross multiply
    295,598x = 432,909 × 432,909
  4. Step 4: Simplify right side
    295,598x = 187,410,202,281
  5. Step 5: Solve for x
    x = 187,410,202,281/295,598
  6. Step 6: Final answer
    x = 634,003.62

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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.