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Finding the Third Proportional to 286,048.13 and 634,827.38

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Solution

The third proportional to 286,048.13 and 634,827.38 is: 1,408,874.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,048.13 : 634,827.38 = 634,827.38 : x
  2. Step 2: Convert to fraction form
    286,048.13/634,827.38 = 634,827.38/x
  3. Step 3: Cross multiply
    286,048.13x = 634,827.38 × 634,827.38
  4. Step 4: Simplify right side
    286,048.13x = 403,005,796,049.39
  5. Step 5: Solve for x
    x = 403,005,796,049.39/286,048.13
  6. Step 6: Final answer
    x = 1,408,874.10

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.