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Finding the Third Proportional to 265,470 and 573,201

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Solution

The third proportional to 265,470 and 573,201 is: 1,237,651.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,470 : 573,201 = 573,201 : x
  2. Step 2: Convert to fraction form
    265,470/573,201 = 573,201/x
  3. Step 3: Cross multiply
    265,470x = 573,201 × 573,201
  4. Step 4: Simplify right side
    265,470x = 328,559,386,401
  5. Step 5: Solve for x
    x = 328,559,386,401/265,470
  6. Step 6: Final answer
    x = 1,237,651.66

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.