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Finding the Third Proportional to 436,473 and 656,332.50

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Solution

The third proportional to 436,473 and 656,332.50 is: 986,939.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,473 : 656,332.50 = 656,332.50 : x
  2. Step 2: Convert to fraction form
    436,473/656,332.50 = 656,332.50/x
  3. Step 3: Cross multiply
    436,473x = 656,332.50 × 656,332.50
  4. Step 4: Simplify right side
    436,473x = 430,772,350,556.25
  5. Step 5: Solve for x
    x = 430,772,350,556.25/436,473
  6. Step 6: Final answer
    x = 986,939.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.