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Finding the Third Proportional to 388,152 and 595,779.75

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Solution

The third proportional to 388,152 and 595,779.75 is: 914,470.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,152 : 595,779.75 = 595,779.75 : x
  2. Step 2: Convert to fraction form
    388,152/595,779.75 = 595,779.75/x
  3. Step 3: Cross multiply
    388,152x = 595,779.75 × 595,779.75
  4. Step 4: Simplify right side
    388,152x = 354,953,510,510.06
  5. Step 5: Solve for x
    x = 354,953,510,510.06/388,152
  6. Step 6: Final answer
    x = 914,470.39

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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.