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Finding the Third Proportional to 265,196 and 572,755

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Solution

The third proportional to 265,196 and 572,755 is: 1,237,003.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,196 : 572,755 = 572,755 : x
  2. Step 2: Convert to fraction form
    265,196/572,755 = 572,755/x
  3. Step 3: Cross multiply
    265,196x = 572,755 × 572,755
  4. Step 4: Simplify right side
    265,196x = 328,048,290,025
  5. Step 5: Solve for x
    x = 328,048,290,025/265,196
  6. Step 6: Final answer
    x = 1,237,003.16

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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.