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Finding the Third Proportional to 296,314 and 470,716

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Solution

The third proportional to 296,314 and 470,716 is: 747,766.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,314 : 470,716 = 470,716 : x
  2. Step 2: Convert to fraction form
    296,314/470,716 = 470,716/x
  3. Step 3: Cross multiply
    296,314x = 470,716 × 470,716
  4. Step 4: Simplify right side
    296,314x = 221,573,552,656
  5. Step 5: Solve for x
    x = 221,573,552,656/296,314
  6. Step 6: Final answer
    x = 747,766.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.