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Finding the Third Proportional to 214,044 and 468,688

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Solution

The third proportional to 214,044 and 468,688 is: 1,026,277.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,044 : 468,688 = 468,688 : x
  2. Step 2: Convert to fraction form
    214,044/468,688 = 468,688/x
  3. Step 3: Cross multiply
    214,044x = 468,688 × 468,688
  4. Step 4: Simplify right side
    214,044x = 219,668,441,344
  5. Step 5: Solve for x
    x = 219,668,441,344/214,044
  6. Step 6: Final answer
    x = 1,026,277.03

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.