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Finding the Third Proportional to 210,586.50 and 497,124

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Solution

The third proportional to 210,586.50 and 497,124 is: 1,173,542.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,586.50 : 497,124 = 497,124 : x
  2. Step 2: Convert to fraction form
    210,586.50/497,124 = 497,124/x
  3. Step 3: Cross multiply
    210,586.50x = 497,124 × 497,124
  4. Step 4: Simplify right side
    210,586.50x = 247,132,271,376
  5. Step 5: Solve for x
    x = 247,132,271,376/210,586.50
  6. Step 6: Final answer
    x = 1,173,542.80

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.