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Finding the Third Proportional to 225,445 and 492,444

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Solution

The third proportional to 225,445 and 492,444 is: 1,075,655.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,445 : 492,444 = 492,444 : x
  2. Step 2: Convert to fraction form
    225,445/492,444 = 492,444/x
  3. Step 3: Cross multiply
    225,445x = 492,444 × 492,444
  4. Step 4: Simplify right side
    225,445x = 242,501,093,136
  5. Step 5: Solve for x
    x = 242,501,093,136/225,445
  6. Step 6: Final answer
    x = 1,075,655.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.