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Finding the Third Proportional to 255,520 and 537,520

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Solution

The third proportional to 255,520 and 537,520 is: 1,130,744.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,520 : 537,520 = 537,520 : x
  2. Step 2: Convert to fraction form
    255,520/537,520 = 537,520/x
  3. Step 3: Cross multiply
    255,520x = 537,520 × 537,520
  4. Step 4: Simplify right side
    255,520x = 288,927,750,400
  5. Step 5: Solve for x
    x = 288,927,750,400/255,520
  6. Step 6: Final answer
    x = 1,130,744.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.