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Finding the Third Proportional to 478,548 and 1,051,438.50

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Solution

The third proportional to 478,548 and 1,051,438.50 is: 2,310,160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,548 : 1,051,438.50 = 1,051,438.50 : x
  2. Step 2: Convert to fraction form
    478,548/1,051,438.50 = 1,051,438.50/x
  3. Step 3: Cross multiply
    478,548x = 1,051,438.50 × 1,051,438.50
  4. Step 4: Simplify right side
    478,548x = 1,105,522,919,282.25
  5. Step 5: Solve for x
    x = 1,105,522,919,282.25/478,548
  6. Step 6: Final answer
    x = 2,310,160.99

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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.