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Finding the Third Proportional to 255,505 and 537,470

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Solution

The third proportional to 255,505 and 537,470 is: 1,130,600.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,505 : 537,470 = 537,470 : x
  2. Step 2: Convert to fraction form
    255,505/537,470 = 537,470/x
  3. Step 3: Cross multiply
    255,505x = 537,470 × 537,470
  4. Step 4: Simplify right side
    255,505x = 288,874,000,900
  5. Step 5: Solve for x
    x = 288,874,000,900/255,505
  6. Step 6: Final answer
    x = 1,130,600.19

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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.