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Finding the Third Proportional to 341,779.50 and 499,425.75

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Solution

The third proportional to 341,779.50 and 499,425.75 is: 729,786.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,779.50 : 499,425.75 = 499,425.75 : x
  2. Step 2: Convert to fraction form
    341,779.50/499,425.75 = 499,425.75/x
  3. Step 3: Cross multiply
    341,779.50x = 499,425.75 × 499,425.75
  4. Step 4: Simplify right side
    341,779.50x = 249,426,079,763.06
  5. Step 5: Solve for x
    x = 249,426,079,763.06/341,779.50
  6. Step 6: Final answer
    x = 729,786.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.