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Finding the Third Proportional to 295,553 and 432,850

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Solution

The third proportional to 295,553 and 432,850 is: 633,927.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,553 : 432,850 = 432,850 : x
  2. Step 2: Convert to fraction form
    295,553/432,850 = 432,850/x
  3. Step 3: Cross multiply
    295,553x = 432,850 × 432,850
  4. Step 4: Simplify right side
    295,553x = 187,359,122,500
  5. Step 5: Solve for x
    x = 187,359,122,500/295,553
  6. Step 6: Final answer
    x = 633,927.32

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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.