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Finding the Third Proportional to 497,226 and 788,586

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Solution

The third proportional to 497,226 and 788,586 is: 1,250,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,226 : 788,586 = 788,586 : x
  2. Step 2: Convert to fraction form
    497,226/788,586 = 788,586/x
  3. Step 3: Cross multiply
    497,226x = 788,586 × 788,586
  4. Step 4: Simplify right side
    497,226x = 621,867,879,396
  5. Step 5: Solve for x
    x = 621,867,879,396/497,226
  6. Step 6: Final answer
    x = 1,250,674.50

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.