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Finding the Third Proportional to 351,897.75 and 773,779.50

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Solution

The third proportional to 351,897.75 and 773,779.50 is: 1,701,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,897.75 : 773,779.50 = 773,779.50 : x
  2. Step 2: Convert to fraction form
    351,897.75/773,779.50 = 773,779.50/x
  3. Step 3: Cross multiply
    351,897.75x = 773,779.50 × 773,779.50
  4. Step 4: Simplify right side
    351,897.75x = 598,734,714,620.25
  5. Step 5: Solve for x
    x = 598,734,714,620.25/351,897.75
  6. Step 6: Final answer
    x = 1,701,445.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.