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Finding the Third Proportional to 360,284 and 783,988

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Solution

The third proportional to 360,284 and 783,988 is: 1,705,979.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,284 : 783,988 = 783,988 : x
  2. Step 2: Convert to fraction form
    360,284/783,988 = 783,988/x
  3. Step 3: Cross multiply
    360,284x = 783,988 × 783,988
  4. Step 4: Simplify right side
    360,284x = 614,637,184,144
  5. Step 5: Solve for x
    x = 614,637,184,144/360,284
  6. Step 6: Final answer
    x = 1,705,979.68

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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.