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Finding the Third Proportional to 244,480 and 535,040

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Solution

The third proportional to 244,480 and 535,040 is: 1,170,925.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,480 : 535,040 = 535,040 : x
  2. Step 2: Convert to fraction form
    244,480/535,040 = 535,040/x
  3. Step 3: Cross multiply
    244,480x = 535,040 × 535,040
  4. Step 4: Simplify right side
    244,480x = 286,267,801,600
  5. Step 5: Solve for x
    x = 286,267,801,600/244,480
  6. Step 6: Final answer
    x = 1,170,925.24

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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.