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Finding the Third Proportional to 401,477.50 and 546,839

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Solution

The third proportional to 401,477.50 and 546,839 is: 744,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,477.50 : 546,839 = 546,839 : x
  2. Step 2: Convert to fraction form
    401,477.50/546,839 = 546,839/x
  3. Step 3: Cross multiply
    401,477.50x = 546,839 × 546,839
  4. Step 4: Simplify right side
    401,477.50x = 299,032,891,921
  5. Step 5: Solve for x
    x = 299,032,891,921/401,477.50
  6. Step 6: Final answer
    x = 744,831.01

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