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Finding the Third Proportional to 265,348 and 560,646

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Solution

The third proportional to 265,348 and 560,646 is: 1,184,572.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,348 : 560,646 = 560,646 : x
  2. Step 2: Convert to fraction form
    265,348/560,646 = 560,646/x
  3. Step 3: Cross multiply
    265,348x = 560,646 × 560,646
  4. Step 4: Simplify right side
    265,348x = 314,323,937,316
  5. Step 5: Solve for x
    x = 314,323,937,316/265,348
  6. Step 6: Final answer
    x = 1,184,572.48

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.