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Finding the Third Proportional to 225,088 and 492,002

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Solution

The third proportional to 225,088 and 492,002 is: 1,075,428.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,088 : 492,002 = 492,002 : x
  2. Step 2: Convert to fraction form
    225,088/492,002 = 492,002/x
  3. Step 3: Cross multiply
    225,088x = 492,002 × 492,002
  4. Step 4: Simplify right side
    225,088x = 242,065,968,004
  5. Step 5: Solve for x
    x = 242,065,968,004/225,088
  6. Step 6: Final answer
    x = 1,075,428.13

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Why These Related Problems?

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