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Finding the Third Proportional to 354,972 and 772,140

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Solution

The third proportional to 354,972 and 772,140 is: 1,679,569.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,972 : 772,140 = 772,140 : x
  2. Step 2: Convert to fraction form
    354,972/772,140 = 772,140/x
  3. Step 3: Cross multiply
    354,972x = 772,140 × 772,140
  4. Step 4: Simplify right side
    354,972x = 596,200,179,600
  5. Step 5: Solve for x
    x = 596,200,179,600/354,972
  6. Step 6: Final answer
    x = 1,679,569.60

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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.