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Finding the Third Proportional to 295,549 and 468,068

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Solution

The third proportional to 295,549 and 468,068 is: 741,290.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,549 : 468,068 = 468,068 : x
  2. Step 2: Convert to fraction form
    295,549/468,068 = 468,068/x
  3. Step 3: Cross multiply
    295,549x = 468,068 × 468,068
  4. Step 4: Simplify right side
    295,549x = 219,087,652,624
  5. Step 5: Solve for x
    x = 219,087,652,624/295,549
  6. Step 6: Final answer
    x = 741,290.45

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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.