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Finding the Third Proportional to 356,937 and 573,997.50

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Solution

The third proportional to 356,937 and 573,997.50 is: 923,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,937 : 573,997.50 = 573,997.50 : x
  2. Step 2: Convert to fraction form
    356,937/573,997.50 = 573,997.50/x
  3. Step 3: Cross multiply
    356,937x = 573,997.50 × 573,997.50
  4. Step 4: Simplify right side
    356,937x = 329,473,130,006.25
  5. Step 5: Solve for x
    x = 329,473,130,006.25/356,937
  6. Step 6: Final answer
    x = 923,056.81

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.