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Finding the Third Proportional to 185,047 and 403,559

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Solution

The third proportional to 185,047 and 403,559 is: 880,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,047 : 403,559 = 403,559 : x
  2. Step 2: Convert to fraction form
    185,047/403,559 = 403,559/x
  3. Step 3: Cross multiply
    185,047x = 403,559 × 403,559
  4. Step 4: Simplify right side
    185,047x = 162,859,866,481
  5. Step 5: Solve for x
    x = 162,859,866,481/185,047
  6. Step 6: Final answer
    x = 880,100.01

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.