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Finding the Third Proportional to 296,117 and 470,960

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Solution

The third proportional to 296,117 and 470,960 is: 749,039.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,117 : 470,960 = 470,960 : x
  2. Step 2: Convert to fraction form
    296,117/470,960 = 470,960/x
  3. Step 3: Cross multiply
    296,117x = 470,960 × 470,960
  4. Step 4: Simplify right side
    296,117x = 221,803,321,600
  5. Step 5: Solve for x
    x = 221,803,321,600/296,117
  6. Step 6: Final answer
    x = 749,039.47

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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.