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Finding the Third Proportional to 643,560 and 846,280

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Solution

The third proportional to 643,560 and 846,280 is: 1,112,856.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,560 : 846,280 = 846,280 : x
  2. Step 2: Convert to fraction form
    643,560/846,280 = 846,280/x
  3. Step 3: Cross multiply
    643,560x = 846,280 × 846,280
  4. Step 4: Simplify right side
    643,560x = 716,189,838,400
  5. Step 5: Solve for x
    x = 716,189,838,400/643,560
  6. Step 6: Final answer
    x = 1,112,856.36

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.