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Finding the Third Proportional to 250,348 and 377,646

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Solution

The third proportional to 250,348 and 377,646 is: 569,673.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,348 : 377,646 = 377,646 : x
  2. Step 2: Convert to fraction form
    250,348/377,646 = 377,646/x
  3. Step 3: Cross multiply
    250,348x = 377,646 × 377,646
  4. Step 4: Simplify right side
    250,348x = 142,616,501,316
  5. Step 5: Solve for x
    x = 142,616,501,316/250,348
  6. Step 6: Final answer
    x = 569,673.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.