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Finding the Third Proportional to 236,502 and 546,947

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Solution

The third proportional to 236,502 and 546,947 is: 1,264,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,502 : 546,947 = 546,947 : x
  2. Step 2: Convert to fraction form
    236,502/546,947 = 546,947/x
  3. Step 3: Cross multiply
    236,502x = 546,947 × 546,947
  4. Step 4: Simplify right side
    236,502x = 299,151,020,809
  5. Step 5: Solve for x
    x = 299,151,020,809/236,502
  6. Step 6: Final answer
    x = 1,264,898.48

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.