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Finding the Third Proportional to 292,253.06 and 456,832.41

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Solution

The third proportional to 292,253.06 and 456,832.41 is: 714,092.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,253.06 : 456,832.41 = 456,832.41 : x
  2. Step 2: Convert to fraction form
    292,253.06/456,832.41 = 456,832.41/x
  3. Step 3: Cross multiply
    292,253.06x = 456,832.41 × 456,832.41
  4. Step 4: Simplify right side
    292,253.06x = 208,695,847,400.17
  5. Step 5: Solve for x
    x = 208,695,847,400.17/292,253.06
  6. Step 6: Final answer
    x = 714,092.94

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.