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Finding the Third Proportional to 272,929.50 and 400,484.25

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Solution

The third proportional to 272,929.50 and 400,484.25 is: 587,652.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,929.50 : 400,484.25 = 400,484.25 : x
  2. Step 2: Convert to fraction form
    272,929.50/400,484.25 = 400,484.25/x
  3. Step 3: Cross multiply
    272,929.50x = 400,484.25 × 400,484.25
  4. Step 4: Simplify right side
    272,929.50x = 160,387,634,498.06
  5. Step 5: Solve for x
    x = 160,387,634,498.06/272,929.50
  6. Step 6: Final answer
    x = 587,652.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.