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Finding the Third Proportional to 321,534 and 473,006

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Solution

The third proportional to 321,534 and 473,006 is: 695,835.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,534 : 473,006 = 473,006 : x
  2. Step 2: Convert to fraction form
    321,534/473,006 = 473,006/x
  3. Step 3: Cross multiply
    321,534x = 473,006 × 473,006
  4. Step 4: Simplify right side
    321,534x = 223,734,676,036
  5. Step 5: Solve for x
    x = 223,734,676,036/321,534
  6. Step 6: Final answer
    x = 695,835.20

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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.