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Finding the Third Proportional to 497,571 and 745,573.50

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Solution

The third proportional to 497,571 and 745,573.50 is: 1,117,186.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,571 : 745,573.50 = 745,573.50 : x
  2. Step 2: Convert to fraction form
    497,571/745,573.50 = 745,573.50/x
  3. Step 3: Cross multiply
    497,571x = 745,573.50 × 745,573.50
  4. Step 4: Simplify right side
    497,571x = 555,879,843,902.25
  5. Step 5: Solve for x
    x = 555,879,843,902.25/497,571
  6. Step 6: Final answer
    x = 1,117,186.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.