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Finding the Third Proportional to 354,901.50 and 549,757.13

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Solution

The third proportional to 354,901.50 and 549,757.13 is: 851,596.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,901.50 : 549,757.13 = 549,757.13 : x
  2. Step 2: Convert to fraction form
    354,901.50/549,757.13 = 549,757.13/x
  3. Step 3: Cross multiply
    354,901.50x = 549,757.13 × 549,757.13
  4. Step 4: Simplify right side
    354,901.50x = 302,232,896,488.27
  5. Step 5: Solve for x
    x = 302,232,896,488.27/354,901.50
  6. Step 6: Final answer
    x = 851,596.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.