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Finding the Third Proportional to 321,536 and 473,011

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Solution

The third proportional to 321,536 and 473,011 is: 695,845.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,536 : 473,011 = 473,011 : x
  2. Step 2: Convert to fraction form
    321,536/473,011 = 473,011/x
  3. Step 3: Cross multiply
    321,536x = 473,011 × 473,011
  4. Step 4: Simplify right side
    321,536x = 223,739,406,121
  5. Step 5: Solve for x
    x = 223,739,406,121/321,536
  6. Step 6: Final answer
    x = 695,845.59

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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.