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Finding the Third Proportional to 436,248 and 651,764

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Solution

The third proportional to 436,248 and 651,764 is: 973,749.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,248 : 651,764 = 651,764 : x
  2. Step 2: Convert to fraction form
    436,248/651,764 = 651,764/x
  3. Step 3: Cross multiply
    436,248x = 651,764 × 651,764
  4. Step 4: Simplify right side
    436,248x = 424,796,311,696
  5. Step 5: Solve for x
    x = 424,796,311,696/436,248
  6. Step 6: Final answer
    x = 973,749.59

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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.