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Finding the Third Proportional to 575,386.03 and 851,927.63

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Solution

The third proportional to 575,386.03 and 851,927.63 is: 1,261,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,386.03 : 851,927.63 = 851,927.63 : x
  2. Step 2: Convert to fraction form
    575,386.03/851,927.63 = 851,927.63/x
  3. Step 3: Cross multiply
    575,386.03x = 851,927.63 × 851,927.63
  4. Step 4: Simplify right side
    575,386.03x = 725,780,678,238.14
  5. Step 5: Solve for x
    x = 725,780,678,238.14/575,386.03
  6. Step 6: Final answer
    x = 1,261,380.43

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.