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Finding the Third Proportional to 492,088.50 and 1,076,758.50

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Solution

The third proportional to 492,088.50 and 1,076,758.50 is: 2,356,098.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,088.50 : 1,076,758.50 = 1,076,758.50 : x
  2. Step 2: Convert to fraction form
    492,088.50/1,076,758.50 = 1,076,758.50/x
  3. Step 3: Cross multiply
    492,088.50x = 1,076,758.50 × 1,076,758.50
  4. Step 4: Simplify right side
    492,088.50x = 1,159,408,867,322.25
  5. Step 5: Solve for x
    x = 1,159,408,867,322.25/492,088.50
  6. Step 6: Final answer
    x = 2,356,098.28

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.