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Finding the Third Proportional to 360,653 and 783,514

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Solution

The third proportional to 360,653 and 783,514 is: 1,702,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,653 : 783,514 = 783,514 : x
  2. Step 2: Convert to fraction form
    360,653/783,514 = 783,514/x
  3. Step 3: Cross multiply
    360,653x = 783,514 × 783,514
  4. Step 4: Simplify right side
    360,653x = 613,894,188,196
  5. Step 5: Solve for x
    x = 613,894,188,196/360,653
  6. Step 6: Final answer
    x = 1,702,174.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.