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Finding the Third Proportional to 292,555.50 and 436,902

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Solution

The third proportional to 292,555.50 and 436,902 is: 652,468.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,555.50 : 436,902 = 436,902 : x
  2. Step 2: Convert to fraction form
    292,555.50/436,902 = 436,902/x
  3. Step 3: Cross multiply
    292,555.50x = 436,902 × 436,902
  4. Step 4: Simplify right side
    292,555.50x = 190,883,357,604
  5. Step 5: Solve for x
    x = 190,883,357,604/292,555.50
  6. Step 6: Final answer
    x = 652,468.87

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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.