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Finding the Third Proportional to 223,892 and 473,053

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Solution

The third proportional to 223,892 and 473,053 is: 999,495.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,892 : 473,053 = 473,053 : x
  2. Step 2: Convert to fraction form
    223,892/473,053 = 473,053/x
  3. Step 3: Cross multiply
    223,892x = 473,053 × 473,053
  4. Step 4: Simplify right side
    223,892x = 223,779,140,809
  5. Step 5: Solve for x
    x = 223,779,140,809/223,892
  6. Step 6: Final answer
    x = 999,495.92

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.