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Finding the Third Proportional to 295,631 and 456,745

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Solution

The third proportional to 295,631 and 456,745 is: 705,663.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,631 : 456,745 = 456,745 : x
  2. Step 2: Convert to fraction form
    295,631/456,745 = 456,745/x
  3. Step 3: Cross multiply
    295,631x = 456,745 × 456,745
  4. Step 4: Simplify right side
    295,631x = 208,615,995,025
  5. Step 5: Solve for x
    x = 208,615,995,025/295,631
  6. Step 6: Final answer
    x = 705,663.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.