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Finding the Third Proportional to 292,760 and 436,711.50

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Solution

The third proportional to 292,760 and 436,711.50 is: 651,444.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,760 : 436,711.50 = 436,711.50 : x
  2. Step 2: Convert to fraction form
    292,760/436,711.50 = 436,711.50/x
  3. Step 3: Cross multiply
    292,760x = 436,711.50 × 436,711.50
  4. Step 4: Simplify right side
    292,760x = 190,716,934,232.25
  5. Step 5: Solve for x
    x = 190,716,934,232.25/292,760
  6. Step 6: Final answer
    x = 651,444.64

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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.