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Finding the Third Proportional to 292,545 and 436,887

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Solution

The third proportional to 292,545 and 436,887 is: 652,447.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,545 : 436,887 = 436,887 : x
  2. Step 2: Convert to fraction form
    292,545/436,887 = 436,887/x
  3. Step 3: Cross multiply
    292,545x = 436,887 × 436,887
  4. Step 4: Simplify right side
    292,545x = 190,870,250,769
  5. Step 5: Solve for x
    x = 190,870,250,769/292,545
  6. Step 6: Final answer
    x = 652,447.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.