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Finding the Third Proportional to 218,641.50 and 477,783

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Solution

The third proportional to 218,641.50 and 477,783 is: 1,044,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,641.50 : 477,783 = 477,783 : x
  2. Step 2: Convert to fraction form
    218,641.50/477,783 = 477,783/x
  3. Step 3: Cross multiply
    218,641.50x = 477,783 × 477,783
  4. Step 4: Simplify right side
    218,641.50x = 228,276,595,089
  5. Step 5: Solve for x
    x = 228,276,595,089/218,641.50
  6. Step 6: Final answer
    x = 1,044,068.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.