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Finding the Third Proportional to 295,536 and 468,046

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Solution

The third proportional to 295,536 and 468,046 is: 741,253.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,536 : 468,046 = 468,046 : x
  2. Step 2: Convert to fraction form
    295,536/468,046 = 468,046/x
  3. Step 3: Cross multiply
    295,536x = 468,046 × 468,046
  4. Step 4: Simplify right side
    295,536x = 219,067,058,116
  5. Step 5: Solve for x
    x = 219,067,058,116/295,536
  6. Step 6: Final answer
    x = 741,253.38

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.