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Finding the Third Proportional to 426,387 and 585,796.50

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Solution

The third proportional to 426,387 and 585,796.50 is: 804,803.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,387 : 585,796.50 = 585,796.50 : x
  2. Step 2: Convert to fraction form
    426,387/585,796.50 = 585,796.50/x
  3. Step 3: Cross multiply
    426,387x = 585,796.50 × 585,796.50
  4. Step 4: Simplify right side
    426,387x = 343,157,539,412.25
  5. Step 5: Solve for x
    x = 343,157,539,412.25/426,387
  6. Step 6: Final answer
    x = 804,803.01

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.