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Finding the Third Proportional to 360,267 and 783,957

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Solution

The third proportional to 360,267 and 783,957 is: 1,705,925.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,267 : 783,957 = 783,957 : x
  2. Step 2: Convert to fraction form
    360,267/783,957 = 783,957/x
  3. Step 3: Cross multiply
    360,267x = 783,957 × 783,957
  4. Step 4: Simplify right side
    360,267x = 614,588,577,849
  5. Step 5: Solve for x
    x = 614,588,577,849/360,267
  6. Step 6: Final answer
    x = 1,705,925.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.