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Finding the Third Proportional to 480,114 and 743,358

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Solution

The third proportional to 480,114 and 743,358 is: 1,150,937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    480,114 : 743,358 = 743,358 : x
  2. Step 2: Convert to fraction form
    480,114/743,358 = 743,358/x
  3. Step 3: Cross multiply
    480,114x = 743,358 × 743,358
  4. Step 4: Simplify right side
    480,114x = 552,581,116,164
  5. Step 5: Solve for x
    x = 552,581,116,164/480,114
  6. Step 6: Final answer
    x = 1,150,937.31

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.