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Finding the Third Proportional to 492,748 and 544,588

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Solution

The third proportional to 492,748 and 544,588 is: 601,881.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,748 : 544,588 = 544,588 : x
  2. Step 2: Convert to fraction form
    492,748/544,588 = 544,588/x
  3. Step 3: Cross multiply
    492,748x = 544,588 × 544,588
  4. Step 4: Simplify right side
    492,748x = 296,576,089,744
  5. Step 5: Solve for x
    x = 296,576,089,744/492,748
  6. Step 6: Final answer
    x = 601,881.87

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.