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Finding the Third Proportional to 397,239 and 607,779.75

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Solution

The third proportional to 397,239 and 607,779.75 is: 929,909.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,239 : 607,779.75 = 607,779.75 : x
  2. Step 2: Convert to fraction form
    397,239/607,779.75 = 607,779.75/x
  3. Step 3: Cross multiply
    397,239x = 607,779.75 × 607,779.75
  4. Step 4: Simplify right side
    397,239x = 369,396,224,510.06
  5. Step 5: Solve for x
    x = 369,396,224,510.06/397,239
  6. Step 6: Final answer
    x = 929,909.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.