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Finding the Third Proportional to 223,887.38 and 473,045.06

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Solution

The third proportional to 223,887.38 and 473,045.06 is: 999,483.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,887.38 : 473,045.06 = 473,045.06 : x
  2. Step 2: Convert to fraction form
    223,887.38/473,045.06 = 473,045.06/x
  3. Step 3: Cross multiply
    223,887.38x = 473,045.06 × 473,045.06
  4. Step 4: Simplify right side
    223,887.38x = 223,771,631,155.63
  5. Step 5: Solve for x
    x = 223,771,631,155.63/223,887.38
  6. Step 6: Final answer
    x = 999,483.03

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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.