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Finding the Third Proportional to 401,352 and 546,660

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Solution

The third proportional to 401,352 and 546,660 is: 744,576.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,352 : 546,660 = 546,660 : x
  2. Step 2: Convert to fraction form
    401,352/546,660 = 546,660/x
  3. Step 3: Cross multiply
    401,352x = 546,660 × 546,660
  4. Step 4: Simplify right side
    401,352x = 298,837,155,600
  5. Step 5: Solve for x
    x = 298,837,155,600/401,352
  6. Step 6: Final answer
    x = 744,576.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.