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Finding the Third Proportional to 243,596.50 and 531,459

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Solution

The third proportional to 243,596.50 and 531,459 is: 1,159,493.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,596.50 : 531,459 = 531,459 : x
  2. Step 2: Convert to fraction form
    243,596.50/531,459 = 531,459/x
  3. Step 3: Cross multiply
    243,596.50x = 531,459 × 531,459
  4. Step 4: Simplify right side
    243,596.50x = 282,448,668,681
  5. Step 5: Solve for x
    x = 282,448,668,681/243,596.50
  6. Step 6: Final answer
    x = 1,159,493.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.