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Finding the Third Proportional to 295,045.88 and 446,090.63

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Solution

The third proportional to 295,045.88 and 446,090.63 is: 674,460.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,045.88 : 446,090.63 = 446,090.63 : x
  2. Step 2: Convert to fraction form
    295,045.88/446,090.63 = 446,090.63/x
  3. Step 3: Cross multiply
    295,045.88x = 446,090.63 × 446,090.63
  4. Step 4: Simplify right side
    295,045.88x = 198,996,845,712.89
  5. Step 5: Solve for x
    x = 198,996,845,712.89/295,045.88
  6. Step 6: Final answer
    x = 674,460.69

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.