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Finding the Third Proportional to 365,814 and 562,988.25

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Solution

The third proportional to 365,814 and 562,988.25 is: 866,439.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,814 : 562,988.25 = 562,988.25 : x
  2. Step 2: Convert to fraction form
    365,814/562,988.25 = 562,988.25/x
  3. Step 3: Cross multiply
    365,814x = 562,988.25 × 562,988.25
  4. Step 4: Simplify right side
    365,814x = 316,955,769,638.06
  5. Step 5: Solve for x
    x = 316,955,769,638.06/365,814
  6. Step 6: Final answer
    x = 866,439.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.