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Finding the Third Proportional to 401,483.25 and 591,127.88

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Solution

The third proportional to 401,483.25 and 591,127.88 is: 870,353.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,483.25 : 591,127.88 = 591,127.88 : x
  2. Step 2: Convert to fraction form
    401,483.25/591,127.88 = 591,127.88/x
  3. Step 3: Cross multiply
    401,483.25x = 591,127.88 × 591,127.88
  4. Step 4: Simplify right side
    401,483.25x = 349,432,164,602.02
  5. Step 5: Solve for x
    x = 349,432,164,602.02/401,483.25
  6. Step 6: Final answer
    x = 870,353.03

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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.