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Finding the Third Proportional to 569,193 and 865,444.50

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Solution

The third proportional to 569,193 and 865,444.50 is: 1,315,887.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,193 : 865,444.50 = 865,444.50 : x
  2. Step 2: Convert to fraction form
    569,193/865,444.50 = 865,444.50/x
  3. Step 3: Cross multiply
    569,193x = 865,444.50 × 865,444.50
  4. Step 4: Simplify right side
    569,193x = 748,994,182,580.25
  5. Step 5: Solve for x
    x = 748,994,182,580.25/569,193
  6. Step 6: Final answer
    x = 1,315,887.90

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.