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Finding the Third Proportional to 262,153.50 and 573,369

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Solution

The third proportional to 262,153.50 and 573,369 is: 1,254,043.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,153.50 : 573,369 = 573,369 : x
  2. Step 2: Convert to fraction form
    262,153.50/573,369 = 573,369/x
  3. Step 3: Cross multiply
    262,153.50x = 573,369 × 573,369
  4. Step 4: Simplify right side
    262,153.50x = 328,752,010,161
  5. Step 5: Solve for x
    x = 328,752,010,161/262,153.50
  6. Step 6: Final answer
    x = 1,254,043.95

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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.