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Finding the Third Proportional to 287,416.50 and 623,733

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Solution

The third proportional to 287,416.50 and 623,733 is: 1,353,585.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,416.50 : 623,733 = 623,733 : x
  2. Step 2: Convert to fraction form
    287,416.50/623,733 = 623,733/x
  3. Step 3: Cross multiply
    287,416.50x = 623,733 × 623,733
  4. Step 4: Simplify right side
    287,416.50x = 389,042,855,289
  5. Step 5: Solve for x
    x = 389,042,855,289/287,416.50
  6. Step 6: Final answer
    x = 1,353,585.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.