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Finding the Third Proportional to 321,537 and 473,013

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Solution

The third proportional to 321,537 and 473,013 is: 695,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,537 : 473,013 = 473,013 : x
  2. Step 2: Convert to fraction form
    321,537/473,013 = 473,013/x
  3. Step 3: Cross multiply
    321,537x = 473,013 × 473,013
  4. Step 4: Simplify right side
    321,537x = 223,741,298,169
  5. Step 5: Solve for x
    x = 223,741,298,169/321,537
  6. Step 6: Final answer
    x = 695,849.31

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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.