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Finding the Third Proportional to 489,785 and 756,514

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Solution

The third proportional to 489,785 and 756,514 is: 1,168,499.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,785 : 756,514 = 756,514 : x
  2. Step 2: Convert to fraction form
    489,785/756,514 = 756,514/x
  3. Step 3: Cross multiply
    489,785x = 756,514 × 756,514
  4. Step 4: Simplify right side
    489,785x = 572,313,432,196
  5. Step 5: Solve for x
    x = 572,313,432,196/489,785
  6. Step 6: Final answer
    x = 1,168,499.31

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.