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Finding the Third Proportional to 372,946.31 and 573,577.69

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Solution

The third proportional to 372,946.31 and 573,577.69 is: 882,141.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,946.31 : 573,577.69 = 573,577.69 : x
  2. Step 2: Convert to fraction form
    372,946.31/573,577.69 = 573,577.69/x
  3. Step 3: Cross multiply
    372,946.31x = 573,577.69 × 573,577.69
  4. Step 4: Simplify right side
    372,946.31x = 328,991,363,597.85
  5. Step 5: Solve for x
    x = 328,991,363,597.85/372,946.31
  6. Step 6: Final answer
    x = 882,141.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.