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Finding the Third Proportional to 457,909.50 and 673,146

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Solution

The third proportional to 457,909.50 and 673,146 is: 989,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,909.50 : 673,146 = 673,146 : x
  2. Step 2: Convert to fraction form
    457,909.50/673,146 = 673,146/x
  3. Step 3: Cross multiply
    457,909.50x = 673,146 × 673,146
  4. Step 4: Simplify right side
    457,909.50x = 453,125,537,316
  5. Step 5: Solve for x
    x = 453,125,537,316/457,909.50
  6. Step 6: Final answer
    x = 989,552.60

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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.