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Finding the Third Proportional to 436,252 and 651,770

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Solution

The third proportional to 436,252 and 651,770 is: 973,758.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,252 : 651,770 = 651,770 : x
  2. Step 2: Convert to fraction form
    436,252/651,770 = 651,770/x
  3. Step 3: Cross multiply
    436,252x = 651,770 × 651,770
  4. Step 4: Simplify right side
    436,252x = 424,804,132,900
  5. Step 5: Solve for x
    x = 424,804,132,900/436,252
  6. Step 6: Final answer
    x = 973,758.59

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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.