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Finding the Third Proportional to 253,480 and 371,004

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Solution

The third proportional to 253,480 and 371,004 is: 543,017.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,480 : 371,004 = 371,004 : x
  2. Step 2: Convert to fraction form
    253,480/371,004 = 371,004/x
  3. Step 3: Cross multiply
    253,480x = 371,004 × 371,004
  4. Step 4: Simplify right side
    253,480x = 137,643,968,016
  5. Step 5: Solve for x
    x = 137,643,968,016/253,480
  6. Step 6: Final answer
    x = 543,017.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.