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Finding the Third Proportional to 288,927 and 453,829.50

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Solution

The third proportional to 288,927 and 453,829.50 is: 712,848.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,927 : 453,829.50 = 453,829.50 : x
  2. Step 2: Convert to fraction form
    288,927/453,829.50 = 453,829.50/x
  3. Step 3: Cross multiply
    288,927x = 453,829.50 × 453,829.50
  4. Step 4: Simplify right side
    288,927x = 205,961,215,070.25
  5. Step 5: Solve for x
    x = 205,961,215,070.25/288,927
  6. Step 6: Final answer
    x = 712,848.63

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.