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Finding the Third Proportional to 411,545 and 546,213

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Solution

The third proportional to 411,545 and 546,213 is: 724,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,545 : 546,213 = 546,213 : x
  2. Step 2: Convert to fraction form
    411,545/546,213 = 546,213/x
  3. Step 3: Cross multiply
    411,545x = 546,213 × 546,213
  4. Step 4: Simplify right side
    411,545x = 298,348,641,369
  5. Step 5: Solve for x
    x = 298,348,641,369/411,545
  6. Step 6: Final answer
    x = 724,947.80

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.