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Finding the Third Proportional to 338,557 and 473,271

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Solution

The third proportional to 338,557 and 473,271 is: 661,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,557 : 473,271 = 473,271 : x
  2. Step 2: Convert to fraction form
    338,557/473,271 = 473,271/x
  3. Step 3: Cross multiply
    338,557x = 473,271 × 473,271
  4. Step 4: Simplify right side
    338,557x = 223,985,439,441
  5. Step 5: Solve for x
    x = 223,985,439,441/338,557
  6. Step 6: Final answer
    x = 661,588.56

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.