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Finding the Third Proportional to 286,453.13 and 630,109.13

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Solution

The third proportional to 286,453.13 and 630,109.13 is: 1,386,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,453.13 : 630,109.13 = 630,109.13 : x
  2. Step 2: Convert to fraction form
    286,453.13/630,109.13 = 630,109.13/x
  3. Step 3: Cross multiply
    286,453.13x = 630,109.13 × 630,109.13
  4. Step 4: Simplify right side
    286,453.13x = 397,037,509,408.27
  5. Step 5: Solve for x
    x = 397,037,509,408.27/286,453.13
  6. Step 6: Final answer
    x = 1,386,047.05

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.