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Finding the Third Proportional to 221,008 and 473,040

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Solution

The third proportional to 221,008 and 473,040 is: 1,012,482.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,008 : 473,040 = 473,040 : x
  2. Step 2: Convert to fraction form
    221,008/473,040 = 473,040/x
  3. Step 3: Cross multiply
    221,008x = 473,040 × 473,040
  4. Step 4: Simplify right side
    221,008x = 223,766,841,600
  5. Step 5: Solve for x
    x = 223,766,841,600/221,008
  6. Step 6: Final answer
    x = 1,012,482.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.