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Finding the Third Proportional to 529,159.50 and 794,931.47

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Solution

The third proportional to 529,159.50 and 794,931.47 is: 1,194,188.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,159.50 : 794,931.47 = 794,931.47 : x
  2. Step 2: Convert to fraction form
    529,159.50/794,931.47 = 794,931.47/x
  3. Step 3: Cross multiply
    529,159.50x = 794,931.47 × 794,931.47
  4. Step 4: Simplify right side
    529,159.50x = 631,916,040,009.03
  5. Step 5: Solve for x
    x = 631,916,040,009.03/529,159.50
  6. Step 6: Final answer
    x = 1,194,188.22

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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.