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Finding the Third Proportional to 255,026.25 and 528,480

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Solution

The third proportional to 255,026.25 and 528,480 is: 1,095,146.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,026.25 : 528,480 = 528,480 : x
  2. Step 2: Convert to fraction form
    255,026.25/528,480 = 528,480/x
  3. Step 3: Cross multiply
    255,026.25x = 528,480 × 528,480
  4. Step 4: Simplify right side
    255,026.25x = 279,291,110,400
  5. Step 5: Solve for x
    x = 279,291,110,400/255,026.25
  6. Step 6: Final answer
    x = 1,095,146.52

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.