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Finding the Third Proportional to 296,119 and 470,963

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Solution

The third proportional to 296,119 and 470,963 is: 749,043.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,119 : 470,963 = 470,963 : x
  2. Step 2: Convert to fraction form
    296,119/470,963 = 470,963/x
  3. Step 3: Cross multiply
    296,119x = 470,963 × 470,963
  4. Step 4: Simplify right side
    296,119x = 221,806,147,369
  5. Step 5: Solve for x
    x = 221,806,147,369/296,119
  6. Step 6: Final answer
    x = 749,043.96

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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.