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Finding the Third Proportional to 321,654 and 473,124

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Solution

The third proportional to 321,654 and 473,124 is: 695,922.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,654 : 473,124 = 473,124 : x
  2. Step 2: Convert to fraction form
    321,654/473,124 = 473,124/x
  3. Step 3: Cross multiply
    321,654x = 473,124 × 473,124
  4. Step 4: Simplify right side
    321,654x = 223,846,319,376
  5. Step 5: Solve for x
    x = 223,846,319,376/321,654
  6. Step 6: Final answer
    x = 695,922.70

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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.