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Finding the Third Proportional to 321,532 and 473,003

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Solution

The third proportional to 321,532 and 473,003 is: 695,830.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,532 : 473,003 = 473,003 : x
  2. Step 2: Convert to fraction form
    321,532/473,003 = 473,003/x
  3. Step 3: Cross multiply
    321,532x = 473,003 × 473,003
  4. Step 4: Simplify right side
    321,532x = 223,731,838,009
  5. Step 5: Solve for x
    x = 223,731,838,009/321,532
  6. Step 6: Final answer
    x = 695,830.70

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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.