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Finding the Third Proportional to 385,829 and 846,360

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Solution

The third proportional to 385,829 and 846,360 is: 1,856,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,829 : 846,360 = 846,360 : x
  2. Step 2: Convert to fraction form
    385,829/846,360 = 846,360/x
  3. Step 3: Cross multiply
    385,829x = 846,360 × 846,360
  4. Step 4: Simplify right side
    385,829x = 716,325,249,600
  5. Step 5: Solve for x
    x = 716,325,249,600/385,829
  6. Step 6: Final answer
    x = 1,856,587.37

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.