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Finding the Third Proportional to 286,459.50 and 630,120

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Solution

The third proportional to 286,459.50 and 630,120 is: 1,386,064.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,459.50 : 630,120 = 630,120 : x
  2. Step 2: Convert to fraction form
    286,459.50/630,120 = 630,120/x
  3. Step 3: Cross multiply
    286,459.50x = 630,120 × 630,120
  4. Step 4: Simplify right side
    286,459.50x = 397,051,214,400
  5. Step 5: Solve for x
    x = 397,051,214,400/286,459.50
  6. Step 6: Final answer
    x = 1,386,064.05

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