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Finding the Third Proportional to 292,110 and 470,293

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Solution

The third proportional to 292,110 and 470,293 is: 757,165.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,110 : 470,293 = 470,293 : x
  2. Step 2: Convert to fraction form
    292,110/470,293 = 470,293/x
  3. Step 3: Cross multiply
    292,110x = 470,293 × 470,293
  4. Step 4: Simplify right side
    292,110x = 221,175,505,849
  5. Step 5: Solve for x
    x = 221,175,505,849/292,110
  6. Step 6: Final answer
    x = 757,165.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.