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Finding the Third Proportional to 356,727.50 and 772,261

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Solution

The third proportional to 356,727.50 and 772,261 is: 1,671,828.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,727.50 : 772,261 = 772,261 : x
  2. Step 2: Convert to fraction form
    356,727.50/772,261 = 772,261/x
  3. Step 3: Cross multiply
    356,727.50x = 772,261 × 772,261
  4. Step 4: Simplify right side
    356,727.50x = 596,387,052,121
  5. Step 5: Solve for x
    x = 596,387,052,121/356,727.50
  6. Step 6: Final answer
    x = 1,671,828.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.