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Finding the Third Proportional to 243,582 and 531,314

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Solution

The third proportional to 243,582 and 531,314 is: 1,158,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,582 : 531,314 = 531,314 : x
  2. Step 2: Convert to fraction form
    243,582/531,314 = 531,314/x
  3. Step 3: Cross multiply
    243,582x = 531,314 × 531,314
  4. Step 4: Simplify right side
    243,582x = 282,294,566,596
  5. Step 5: Solve for x
    x = 282,294,566,596/243,582
  6. Step 6: Final answer
    x = 1,158,930.33

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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.