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Finding the Third Proportional to 265,492 and 573,206

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Solution

The third proportional to 265,492 and 573,206 is: 1,237,570.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,492 : 573,206 = 573,206 : x
  2. Step 2: Convert to fraction form
    265,492/573,206 = 573,206/x
  3. Step 3: Cross multiply
    265,492x = 573,206 × 573,206
  4. Step 4: Simplify right side
    265,492x = 328,565,118,436
  5. Step 5: Solve for x
    x = 328,565,118,436/265,492
  6. Step 6: Final answer
    x = 1,237,570.69

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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.